DigitHelm

Browse All 450+ Free Calculators

26 subject categories. Search by name, jump to a topic, or scroll to explore.

480 free tools across 26 categories

Basic Arithmetic

10 free tools · Fundamental math operations including addition, subtraction, multiplication, and division.

Basic Calculator

Free online calculator with memory functions, keyboard support, calculation history, and floating-point correction. Add, subtract, multiply, and divide instantly.

Exponent Calculator

Calculate any base raised to any power (bⁿ), find the base given a result and exponent, or solve for the exponent using logarithms. Handles negative, fractional, and zero exponents with step-by-step working.

Scientific Notation Calculator

Convert numbers to and from scientific notation and perform arithmetic in scientific notation.

Modulo Calculator

Calculate the remainder of a division (modulo operation) for any two numbers.

Nth Root Calculator

Calculate any nth root of a number including square root, cube root, and custom roots.

Number Sorter

Sort a list of numbers in ascending or descending order. Find min, max, sum, and average.

Remainder Calculator

Calculate the quotient and remainder of any division with full long division working shown step by step. Also computes the modulo and checks divisibility for multiple divisors at once.

Recipe Scaling Calculator

Scale any recipe up or down by servings or a custom multiplier. Convert between cups, tablespoons, teaspoons, and grams. Handles fractions, adjusts pan sizes, and notes ingredients that do not scale linearly.

Advanced Scientific Calculator

A CAS-level scientific calculator with graphing, matrices, complex numbers, derivatives, integrals, statistics, and equation solving, all in one.

GPA Calculator

Calculate weighted GPA for a semester or cumulatively across all years. Supports letter grades with +/− and custom grading scales. Built-in what-if analyzer shows the exact grades needed to reach your GPA target.

Percentages

5 free tools · Calculate percentages, percentage changes, and related operations.

Averages & Ratios

6 free tools · Compute means, medians, modes, ratios, and proportions.

Fractions & Decimals

3 free tools · Convert and calculate with fractions, decimals, and mixed numbers.

Unit Conversions

12 free tools · Convert between units of length, weight, temperature, and more.

Unit Converter

Convert between units of length, weight, temperature, volume, and more.

Number Base Converter

Convert numbers between binary, octal, decimal, and hexadecimal bases.

Speed Converter

Convert between mph, km/h, m/s, knots, and feet per second.

Temperature Converter

Convert between Celsius, Fahrenheit, Kelvin, and Rankine temperature scales.

Energy Converter

Convert between 15 energy units: joules, kJ, MJ, GJ, Wh, kWh, MWh, cal, kcal, BTU, therm, ft·lb, eV, keV, MeV. Live results organized by category with smart formatting and NIST-sourced conversion factors.

Pressure Unit Converter

Convert between Pascal, psi, atm, bar, mmHg, and torr pressure units.

Data Storage Converter

Convert between bits, bytes, KB, MB, GB, TB, PB and binary KiB, MiB, GiB, TiB units. Explains the 1 TB = 931 GB discrepancy between SI and IEC standards.

Fuel Efficiency Converter

Convert fuel efficiency between L/100km, MPG US, MPG UK, km/L, gal/100mi, and mi/L simultaneously. Includes efficiency rating and vehicle class comparison.

Angle Converter

Convert angles between degrees, radians, gradians, turns, arcminutes, arcseconds, and milliradians. Includes DMS mode and a visual angle display.

Power Unit Converter

Convert between watts, kilowatts, horsepower, BTU/h, and other power units.

Shoe Size Calculator

Convert shoe sizes between US, UK, EU, Japanese, Mexican, and Brazilian sizing systems for men, women, and kids. Enter foot length in inches or centimeters for a precise size recommendation, or convert from any known size system to all others including width guidance.

Ring Size Calculator

Find your exact ring size from finger circumference or diameter in millimeters or inches. Converts between US/Canada, UK/Australia/South Africa, EU/ISO, and Asian sizing systems. Includes a printable paper ring sizer template and resizing guidance by metal type.

Algebra

20 free tools · Solve equations, simplify expressions, and work with variables.

Quadratic Equation Solver

Solve quadratic equations (ax² + bx + c = 0) and find both real and complex roots.

Cubic Equation Solver

Solve cubic equations (ax³ + bx² + cx + d = 0) and find all three roots with step-by-step working, graph, and factored form.

Polynomial Evaluator

Evaluate any polynomial at a given value of x using Horner method.

Logarithm Calculator

Calculate logarithms with any base. Supports natural log (ln), log base 10, and custom bases.

Absolute Value Equation Solver

Solve |ax + b| = c and |ax + b| = |cx + d| with step-by-step case analysis, verification, and formatted solutions.

Linear Equation Solver

Solve linear equations in one variable (ax + b = c) with step-by-step solutions.

Systems of Equations Solver 2×2

Solve systems of two linear equations with two unknowns using Cramer's rule.

Inequality Solver

Solve linear and quadratic inequalities with step-by-step solutions.

Summation Calculator

Evaluate summation expressions with custom formulas, bounds, and step values.

Complex Number Calculator

Add, subtract, multiply, divide, and apply powers and logs to complex numbers. Shows Argand diagram, polar form, modulus, and step-by-step working.

Completing the Square Calculator

Convert ax² + bx + c to vertex form a(x−h)² + k step by step. Find the vertex, axis of symmetry, and roots of any quadratic.

Synthetic Division Calculator

Divide polynomials using synthetic division and find quotient and remainder.

Rational Root Theorem Calculator

Find all possible rational roots of a polynomial using the Rational Root Theorem.

Exponent Rules Calculator

Apply all 8 laws of exponents, product, quotient, power of a power, zero, negative, fractional, and multiple-base rules, with step-by-step working and numerical verification for any base and exponents.

Logarithm Laws Calculator

Apply logarithm laws: product, quotient, power, change of base, and natural log rules.

Arithmetic Sequence Calculator

Find the nth term, partial sum, and common difference of any arithmetic sequence. Solve for any unknown and generate up to 1,000 terms.

Geometric Sequence Calculator

Find the nth term, partial sum, and infinite sum of any geometric sequence. Solve for the common ratio or number of terms. Determine convergence with first 12 terms shown.

Simplify Radicals Calculator

Simplify radical expressions by extracting perfect square (or nth-power) factors. Converts √72 → 6√2, ∛54 → 3∛2, and handles variables.

Exponential Growth & Decay Calculator

Calculate exponential growth or decay using y = ae^(rt). Solve for any unknown: initial value, growth/decay rate, time, or final value. Covers population growth, bacterial cultures, radioactive decay, investment compounding, and any continuous growth model. Doubling and half-life shown automatically.

Polynomial Long Division Calculator

Divide any polynomial P(x) by any divisor Q(x) using full long-division notation. Shows every multiply-subtract step exactly as you would write it by hand, outputs the quotient and remainder, reconstructs the original polynomial for verification, and checks if Q(x) is an exact factor.

Geometry

25 free tools · Calculate areas, volumes, perimeters, and properties of shapes.

Area Calculator

Calculate area and perimeter for 11 shapes: rectangle, square, circle, triangle, right triangle, trapezoid, parallelogram, rhombus, ellipse, hexagon, and sector. Formulas shown with your values substituted in.

Volume Calculator

Calculate the volume of cubes, spheres, cylinders, cones, and other 3D shapes.

Perimeter Calculator

Calculate the perimeter and circumference of common 2D shapes.

Pythagorean Theorem Calculator

Find the missing side of a right triangle using a² + b² = c².

Distance Calculator

Find Euclidean, Manhattan, and Chebyshev distance between 2D or 3D points. Includes midpoint, slope, line equation, and SVG visualization.

Midpoint Calculator

Find the midpoint between two points in 2D or 3D coordinate space.

Slope Calculator

Calculate the slope of a line between two points and find the line equation.

Circle Calculator

Calculate radius, diameter, circumference, and area of a circle from any known value. Supports sector angle input for arc length, sector area, chord length, and segment area. Includes 7 unit options, adjustable precision, SVG diagram, and 5 real-world presets.

Surface Area Calculator

Calculate surface area of cubes, spheres, cylinders, cones, and other 3D shapes.

Triangle Solver

Solve any triangle given SSS, SAS, ASA, or AAS using law of sines and cosines.

Coordinate Geometry Calculator

Calculate distance, midpoint, slope, line equation, angle, section point, and triangle area from coordinates. Includes an interactive coordinate plane diagram, triangle analysis (centroid, inradius, circumradius), and step-by-step working.

Ellipse Calculator

Calculate the area, perimeter (Ramanujan II), eccentricity, focal distance, semi-latus rectum, directrix, flattening, and standard equation of any ellipse from its semi-axes.

Regular Polygon Calculator

Calculate the area, perimeter, interior angles, and diagonal of any regular polygon.

Heron's Formula Calculator, Triangle Area & Angles

Calculate triangle area using Heron's formula (SSS), SAS, or base-height. Shows all angles via law of cosines, altitudes, triangle type, SVG diagram, and step-by-step working.

Circle Sector Calculator

Calculate arc length, sector area, chord length, segment area, and perimeter of a circle sector. Supports 4 solve-for modes (r+θ, arc+θ, area+θ, r+arc), degrees or radians, 7 length units, SVG diagram, presets, and step-by-step working.

Torus Calculator

Calculate the volume, surface area, and other properties of a torus (donut shape).

Golden Ratio Calculator

Calculate golden ratio dimensions from any measurement. Find A from B, B from A, total length, golden rectangle dimensions. Shows Fibonacci spiral convergence to φ with up to 15 decimal precision.

Frustum Calculator

Calculate volume, slant height, lateral area, and total surface area of a frustum (truncated cone). Supports 5 units, 6 presets, SVG diagram, and step-by-step working.

Aspect Ratio Calculator

Calculate aspect ratios, scale dimensions proportionally, and batch-resize images or videos without distortion.

Map Scale Calculator

Convert between map distances and real-world distances using any map scale ratio.

Paint Calculator

Calculate exactly how much paint you need for any room. Enter wall dimensions, doors, windows, and number of coats. Supports walls, ceilings, trims, and exterior surfaces with waste factor.

Flooring Calculator

Calculate flooring materials for any room shape. Enter dimensions, choose flooring type (hardwood, tile, vinyl, carpet), set waste factor, and get total square footage, boxes needed, and cost estimate.

Conic Section Analyzer

Analyze any conic section from the general equation Ax²+Bxy+Cy²+Dx+Ey+F=0. Identifies the type, finds center, foci, vertices, asymptotes, and eccentricity, handles rotation when B≠0, and shows full discriminant-based step-by-step classification.

Platonic Solids Calculator

Compute volume, surface area, inradius (insphere), midradius (midsphere), and circumradius (circumsphere) for all five Platonic solids — tetrahedron, cube, octahedron, dodecahedron, and icosahedron — from a single edge length. Includes face, edge, and vertex counts.

Quadrilateral Area Calculator

Compute the area and perimeter of any quadrilateral: parallelogram, trapezoid, rhombus, kite, rectangle, square, and general quadrilateral by vertex coordinates or side lengths and angles. Includes the Shoelace formula and Brahmagupta's formula for cyclic quadrilaterals.

Trigonometry

6 free tools · Work with sine, cosine, tangent, and related functions.

Calculus

22 free tools · Derivatives, integrals, limits, and differential equations.

Derivative Calculator

Compute 1st through 4th numerical derivatives of any function at any point. Shows tangent line equation, derivative table, and interactive chart.

Second Derivative Calculator

Compute the second derivative and determine concavity at a given point.

Integral Calculator

Compute definite integrals numerically using Simpson's rule and the trapezoidal rule.

Limit Calculator

Evaluate limits of functions numerically as x approaches a value from left, right, or both sides.

Riemann Sum Calculator

Approximate definite integrals using left, right, midpoint, and trapezoidal Riemann sums.

Tangent Line Calculator

Find the equation of the tangent line to a function at a given point.

Newton's Method Calculator

Find roots of equations using Newton's iterative method with step-by-step convergence.

Arc Length Calculator

Calculate arc length for any function f(x) over an interval using numerical integration, or compute a circle arc length from radius and angle. Also shows sector area, chord length, and step-by-step working.

Partial Derivative Calculator

Compute partial derivatives of multivariable polynomial functions.

Taylor Series Calculator

Compute Taylor/Maclaurin series expansions for common functions.

Differential Equation Solver

Solve first-order ODEs numerically using Euler, Heun, and RK4. Compare method accuracy step by step.

Area Between Curves Calculator

Calculate the exact area enclosed between two functions f(x) and g(x) over any interval. Automatically detects intersection points, splits the integral correctly, and shows a sub-region breakdown.

Volume of Revolution Calculator

Calculate volumes of solids of revolution using disc and shell methods.

Laplace Transform Calculator

Find Laplace transforms and inverse transforms for common functions.

Fourier Series Calculator

Compute Fourier coefficients aₙ and bₙ for any periodic function using 2000-point Simpson's rule. Supports square wave, sawtooth, triangle, rectifiers, and custom expressions. Shows amplitude spectrum, coefficient table, partial sum, and Gibbs phenomenon detection.

Improper Integral Calculator

Evaluate improper integrals with infinite limits or discontinuities.

Series Convergence Calculator

Test if an infinite series converges or diverges using ratio, root, and comparison tests.

Interpolation Calculator

Construct an interpolating polynomial through any set of data points using Lagrange interpolation or Newton's divided difference method. Displays the full divided difference table, polynomial in expanded form, and evaluates at any x — with error bound estimation between data points.

ODE Numerical Solver

Numerically solve first-order ordinary differential equations y′ = f(x, y) using three methods side-by-side: Euler's method, Heun's method (improved Euler), and the 4th-order Runge-Kutta (RK4). Shows all intermediate k₁–k₄ values for RK4 and a full step-by-step comparison table.

Numerical Differentiation Calculator

Approximate the derivative of any function f(x) at a given point using forward difference, backward difference, central difference (O(h²) accurate), and Richardson extrapolation (O(h⁴) accurate). Also computes the second derivative via the central second-difference formula and shows the truncation error for each method.

Numerical Integration Calculator

Integrate any function f(x) over an interval [a, b] using five methods side-by-side: Trapezoid rule, Simpson's 1/3 rule, Simpson's 3/8 rule, Boole's rule, and 5-point Gaussian quadrature. Compares all results, shows step-by-step working for the selected method, and estimates truncation error.

Wronskian Calculator

Compute the Wronskian determinant W(f₁, f₂) or W(f₁, f₂, f₃) by evaluating derivatives numerically. Tests linear independence of function sets, identifies fundamental solution sets for linear ODEs, and displays the full derivative matrix evaluated at multiple points.

Statistics & Probability

36 free tools · Statistical analysis, probability calculations, and data tools.

Standard Deviation Calculator

Calculate standard deviation, variance, and other statistics for a dataset.

Z-Score Calculator

Calculate z-score, percentile rank, and p-values from any data point, mean, and standard deviation. Includes reverse calculation and step-by-step solutions.

Probability Calculator

Calculate single event, multiple event, conditional, and complementary probabilities.

Correlation Coefficient Calculator

Calculate Pearson r and Spearman ρ between two datasets with p-value, R², regression line, and scatter plot.

Linear Regression Calculator

Find the best-fit line (y = mx + b) using least squares regression.

Binomial Distribution Calculator

Calculate binomial probability P(X=k), CDF, mean, variance, and distribution statistics for any n and p. Includes bar chart and full probability table.

Poisson Distribution Calculator

Calculate Poisson probabilities for rare event modeling.

Chi-Square Calculator

Perform chi-square goodness-of-fit and independence tests with p-value, critical value, effect size (Cramér's V, Cohen's w), Yates' correction, standardised residuals, and chi-square distribution curve. Supports 2–5×2–5 contingency tables with real-world presets.

Confidence Interval Calculator

Calculate confidence intervals for means (z and t-test) and proportions (Wald and Wilson). Shows margin of error, critical value, SE, step-by-step working, and a visual bell curve diagram.

Sample Size Calculator

Calculate the required sample size for surveys and experiments.

Percentile Calculator

Find percentile ranks and values from a dataset.

ANOVA Calculator

Perform one-way ANOVA with up to 6 groups. Shows the full ANOVA table, exact p-value, effect size η², group statistics, and a significance verdict, no F-table look-up needed.

Bayes' Theorem Calculator

Calculate posterior probability P(A|B) from prior, sensitivity, and false positive rate. Includes natural frequencies, Bayes factor, and step-by-step derivation.

T-Test Calculator

Perform a one-sample t-test to determine if a sample mean differs significantly from a known value.

Variance Calculator

Calculate population variance and sample variance from a dataset with step-by-step workings.

Quartile Calculator

Calculate Q1, Q2 (median), Q3, interquartile range (IQR), and detect outliers from data.

Frequency Distribution Calculator

Build grouped or ungrouped frequency distribution tables from raw data. Shows relative and cumulative frequencies, modal class, estimated mean and standard deviation, and a bar chart.

Geometric Mean Calculator

Calculate geometric mean for growth rates, investment CAGR, and multiplicative data. Compare AM, GM, and HM with warnings for zeros and negatives.

Moving Average Calculator

Calculate simple moving average (SMA) and exponential moving average (EMA) for time series data.

Effect Size Calculator

Calculate Cohen's d, Hedges' g, Glass's Δ, r, and η² effect sizes from means, t-statistics, F-statistics, or correlation r. Includes 95% CI, power, and required sample size.

P-Value Calculator

Calculate the exact p-value from a z-score, t-statistic, chi-square statistic, or F-statistic. Supports one-tailed and two-tailed tests with significance interpretation.

Mean, Median & Mode Calculator

Calculate the mean, median, mode, range, variance, standard deviation, quartiles, and IQR for any dataset. Detects outliers, shows sorted data, and supports both population and sample statistics.

Normal Distribution Calculator

Compute exact probabilities for any normal distribution: P(X < a), P(X > a), P(a ≤ X ≤ b), inverse CDF (quantile), and PDF at a point. Works with standard normal (μ=0, σ=1) and custom parameters. Bell curve visualization included.

Process Capability Calculator

Calculate process capability indices Cp, Cpk, Pp, and Ppk from specification limits and process statistics. Computes the Six Sigma level, DPMO (defects per million opportunities), control chart limits (UCL, LCL), and the probability of a defect. Classifies the process as world-class, capable, marginal, or inadequate.

Box Plot Calculator

Compute the five-number summary (minimum, Q1, median, Q3, maximum) from raw data. Calculates the interquartile range (IQR), inner and outer Tukey fences, and identifies mild and extreme outliers. Shows sorted data, mean, and standard deviation alongside the box plot statistics.

Power Analysis Calculator

Determine the required sample size for a study given desired statistical power (1 − β), significance level α, and effect size. Supports Cohen's d for t-tests and z-tests, Cohen's h for proportion tests, and Cohen's w for chi-square tests. Also computes achieved power for a given sample size.

Beta Distribution Calculator

Compute the probability density function (PDF), cumulative distribution function (CDF), mean, variance, mode, and skewness of the Beta(α, β) distribution. Evaluates P(X ≤ x) and P(a ≤ X ≤ b) numerically, with applications in Bayesian inference, proportion modeling, and project completion time estimation.

Weibull Distribution Calculator

Compute the PDF, CDF, reliability function, failure (hazard) rate, and mean time to failure (MTTF) for the Weibull distribution with shape parameter k and scale parameter λ. Evaluates survival probability at any time t, computes B10 life, and classifies the failure mode: infant mortality, random, or wear-out.

Two-Way ANOVA Calculator

Perform a two-way analysis of variance for a factorial design with up to 4 levels per factor. Computes sum of squares, degrees of freedom, mean squares, F-statistics, and p-values for factor A, factor B, their interaction A×B, and error. Reports eta-squared effect sizes and overall model fit.

Multiple Regression Calculator

Fit a multiple linear regression model with 2–5 predictor variables. Computes regression coefficients, standard errors, t-statistics, p-values, R², adjusted R², and F-statistic. Includes variance inflation factor (VIF) to diagnose multicollinearity and residual analysis.

Logistic Regression Calculator

Fit a binary logistic regression model using iterative gradient descent. Computes log-likelihood, coefficients, standard errors, odds ratios, predicted probabilities, and ROC AUC. Includes confusion matrix with accuracy, precision, recall, and F1 score.

Mann-Whitney U Test Calculator

Perform the Mann-Whitney U test (Wilcoxon rank-sum test) on two independent samples. Computes U statistic, z-score approximation with continuity correction, exact p-value for small samples, and effect size r = z/√n.

Spearman Rank Correlation Calculator

Compute the Spearman rank correlation coefficient ρ for two paired data sets with up to 50 observations. Handles tied ranks with the correction factor, computes the t-statistic for significance testing, and produces a confidence interval.

Kruskal-Wallis H Test Calculator

Perform the Kruskal-Wallis H test across 2–6 independent groups as a non-parametric alternative to one-way ANOVA. Computes the H statistic, degrees of freedom, chi-square p-value, and pairwise Dunn post-hoc comparisons with Bonferroni correction.

Birthday Problem Calculator

Compute the probability that at least two people in a group share a birthday using the exact combinatorial formula and Poisson approximation. Find the minimum group size for any target probability, and visualize how probability grows from n = 1 to 100.

Bayes Factor Calculator

Compute the Bayes factor BF₁₀ from a likelihood ratio, t-statistic, or chi-square statistic. Updates prior odds to posterior odds, interprets evidence strength on the Jeffreys scale (decisive, strong, moderate, anecdotal), and computes posterior probability of H₁.

Financial Math

65 free tools · Interest rates, loan payments, investment returns, and more.

Compound Interest Calculator

Calculate compound interest with monthly contributions, solve for principal, rate, or time, and see a year-by-year growth breakdown.

Simple Interest Calculator

Calculate simple interest using I = P × R × T formula.

Loan Payment Calculator

Calculate monthly loan payments, total interest, and amortization.

Tip Calculator

Calculate tip amount, total bill, and split between multiple people.

Mortgage Calculator

Calculate monthly mortgage payments, total interest, and amortization schedule.

ROI Calculator

Calculate return on investment percentage from cost and revenue.

Currency Converter

Convert between 35 world currencies with live daily exchange rates. Shows mid-market rates, rate table, and popular pairs.

Depreciation Calculator

Calculate annual depreciation and full amortization schedules using straight-line, double declining balance, and sum-of-years-digits methods. Includes book value chart and method comparison.

Income Tax Calculator

Estimate your income tax based on US federal tax brackets (2024). Calculate effective tax rate.

Break-Even Calculator

Calculate the break-even point in units and revenue from fixed costs, variable costs, and selling price. Includes contribution margin, CM ratio, safety margin, operating leverage, target profit planning, and a visual break-even chart.

Retirement Savings Calculator

Project how much you will have at retirement based on savings rate, return, and time horizon.

Inflation Calculator

Calculate the purchasing power of money over time using historical or custom inflation rates.

NPV Calculator

Calculate the net present value (NPV) and profitability index of an investment.

Debt Payoff Calculator

Calculate how long to pay off any debt and total interest paid. Includes amortization schedule, extra payment comparison, and find-required-payment mode for credit cards and loans.

Savings Goal Calculator

Calculate how long to reach a savings goal or the monthly contribution needed.

Salary to Hourly Calculator

Convert annual salary to hourly, daily, weekly, and monthly rates.

Hourly to Salary Calculator

Convert any hourly wage to annual salary, monthly, bi-weekly, weekly, and daily pay. Includes benefits valuation, contractor vs employee cost comparison, gross-to-net tax estimate, multi-currency support, and PDF/CSV export.

GST / VAT Calculator

Add or remove GST/VAT from any price. Multi-item invoices with individual rates. Country presets for Australia, UK, India, Canada, and EU. 6 currencies supported.

Bill Splitter

Split a restaurant bill with custom tip percentage and divide equally among any number of people.

Annuity Calculator

Calculate present value, future value, required payment, or term for ordinary annuities and annuities-due. Includes perpetuity mode, step-by-step working, and a year-by-year growth or amortization schedule.

APR Calculator

Calculate the Annual Percentage Rate (APR) and Effective Annual Rate (EAR) for any loan. Accounts for upfront fees, shows step-by-step Newton-Raphson solution, and compares two loan offers side by side.

Fuel Cost Calculator

Calculate trip fuel cost from distance, fuel efficiency, and price per litre. Supports L/100km, km/L, MPG US/UK, six currencies, CO2 estimate, and step-by-step working.

Auto Loan Calculator

Calculate your monthly car loan payment with down payment, trade-in, sales tax, and fees. Includes a full amortization schedule, rate sensitivity table, down payment impact analysis, and side-by-side loan comparison.

Investment Calculator

Project long-term investment growth with monthly contributions and lump-sum inputs. Compare conservative, moderate, and aggressive return scenarios, see inflation-adjusted value, and estimate retirement income using the 4% withdrawal rule.

Net Worth Calculator

Calculate your net worth by listing all assets and liabilities. See how you compare to Federal Reserve age benchmarks, check your debt-to-asset ratio, and find your financial independence number.

Budget Calculator

Build a monthly budget and compare your actual spending to the 50/30/20 rule. Track needs, wants, and savings against recommended targets, check emergency fund readiness, and see your personal savings rate.

Rent vs Buy Calculator

Compare the true total cost of renting vs buying over any time horizon. Includes opportunity cost of the down payment, equity buildup, home appreciation, rent inflation, and break-even year.

Paycheck Calculator

Calculate your exact take-home pay after federal income tax, FICA, state taxes, and pre-tax deductions like 401(k) and health insurance. Supports all 50 states and all filing statuses.

Home Affordability Calculator

See how much house you can afford, the maximum home price, and how much you can borrow based on income, debts, and down payment using the 28/36 DTI rule and FHA 43% maximum. Includes PMI estimate and PITI breakdown.

Student Loan Calculator

Compare all federal student loan repayment plans (Standard, Graduated, Extended, IBR, PAYE, SAVE) with full IDR calculations, PSLF tracker, and private refinancing comparison.

Mortgage Refinance Calculator

Calculate your monthly savings, break-even month, and cumulative net savings from refinancing. Supports rate-term and cash-out refinancing with closing cost analysis.

CD Calculator

Calculate Certificate of Deposit returns with APY, compounding frequency, early withdrawal penalty, and inflation-adjusted real return. Includes a 5-rung CD ladder builder.

Capital Gains Tax Calculator

Calculate federal and state capital gains tax on investments using 2024 LTCG brackets, NIIT (IRC § 1411), and all 50 states. Includes tax-loss harvesting scenario and holding period analysis.

Car Lease vs Buy Calculator

Compare the true cost of leasing vs buying a car. Calculates lease payment from money factor and residual, total cost over the term, and equity advantage of buying.

College Savings Calculator

Project 4-year college costs with tuition inflation, calculate 529 savings growth, and find the monthly contribution needed to cover 50%–100% of projected costs.

FIRE Calculator

Calculate your FIRE number using the 4% safe withdrawal rate, find your months to financial independence, Coast FIRE number, and see how savings rate affects your timeline.

Dividend Calculator

Project dividend income with DRIP reinvestment, dividend growth rate, and price appreciation over time. Compare reinvesting vs. taking cash and see yield on cost by year.

Social Security Calculator

Estimate your Social Security benefit at 62, FRA, and 70 using the 2024 PIA formula with bend points. Find your break-even age, compare claiming strategies, and calculate spousal benefits.

RMD Calculator

Calculate your Required Minimum Distribution (RMD) using the IRS Uniform Lifetime Table (2022 update). Includes SECURE 2.0 rules, 10-year projection, and penalty for missed RMDs.

401(k) & Roth IRA Calculator

Compare traditional 401(k) and Roth IRA contributions side by side. Project tax-deferred vs. tax-free growth, estimate employer match impact, and find the breakeven tax rate to decide which account wins.

Bond Price Calculator

Calculate bond price from yield to maturity, coupon rate, and maturity. Find YTM from price, compute Macaulay and modified duration, convexity, and accrued interest for clean vs dirty price.

Dollar-Cost Averaging Calculator

Simulate dollar-cost averaging vs. lump-sum investing over any period. Compare average cost per share, total invested, portfolio value, and risk-adjusted returns across market scenarios.

Emergency Fund Calculator

Calculate your ideal emergency fund size based on monthly expenses, job stability, and household risk. Get a month-by-month savings plan and see how much interest you could earn in a HYSA.

Rental Property Calculator

Analyze rental property returns with cap rate, cash-on-cash return, gross rent multiplier, NOI, and projected 10-year equity. Compare financing scenarios and calculate the 50% and 1% rules.

Options Pricing Calculator

Price European call and put options using the Black-Scholes model. Calculate all five Greeks (Delta, Gamma, Theta, Vega, Rho), implied volatility, intrinsic vs. time value, and breakeven price.

Credit Card Payoff Calculator

Calculate exactly when you will pay off your credit card debt and how much interest you will pay. Compare minimum payments vs fixed amounts, model avalanche and snowball strategies, and see how extra payments save you money.

Amortization Calculator

Generate a complete month-by-month amortization schedule for any loan. See exactly how much principal and interest you pay each month, your remaining balance, and the total cost of the loan over its full term.

CAGR Calculator

Calculate compound annual growth rate (CAGR) from a beginning value, ending value, and number of years. Reverse-solve for required end value or time horizon. Compare CAGR across multiple investments side by side.

Present Value Calculator

Calculate the present value of a future lump sum or annuity stream. Discount future money back to today using any rate. Compare PV of multiple cash flows and understand the time value of money with step-by-step working.

Portfolio Rebalancer

Rebalance your investment portfolio to target allocations. Analyze drift, generate buy/sell trade recommendations, and model cash additions. Supports up to 15 assets with a visual allocation chart and tax-lot awareness.

DRIP Calculator

Project dividend reinvestment plan (DRIP) growth over time. Enter shares, price, and yield; model dividend growth and price appreciation; see year-by-year shares accumulated, income, and total portfolio value with yield-on-cost progression.

Freelance Rate Calculator

Calculate the minimum hourly rate you must charge as a freelancer to hit your income goals. Accounts for taxes, billable vs non-billable hours, overhead, benefits gap, and vacation. Output includes day, week, and project rates with a breakeven analysis.

Mortgage Points Calculator

Determine whether buying mortgage discount points makes financial sense. Compare up to four scenarios (0, 0.5, 1, 2 points) with monthly payment reduction, total interest savings, and exact break-even month. Includes a sell-before-break-even analysis.

CD Ladder Calculator

Build a certificate of deposit ladder with 2 to 6 rungs, each with its own APY and term. See a complete maturity schedule, rolling reinvestment projections, total interest earned per rung, and how the ladder compares against putting everything in one CD.

Meeting Cost Calculator

Calculate the true monetary cost of any meeting with a live ticking timer. Add multiple attendees with individual annual salaries, see the cost climb in real time, get a per-minute breakdown, and estimate how much your weekly recurring meetings cost the organization per year.

Loan Comparison Calculator

Compare up to three loans simultaneously. Enter principal, interest rate, and term for each loan to see monthly payments, total interest paid, total cost, and a year-by-year remaining balance. Automatically ranks loans by cheapest total cost and highlights the best option.

Debt-to-Income Calculator

Calculate your front-end and back-end debt-to-income (DTI) ratios for mortgage and loan qualification. Enter all monthly debts and gross income to see whether you meet Conventional, FHA, and VA lending guidelines. Includes a reverse calculator to find your maximum loan amount.

Savings Withdrawal Calculator

Find out exactly how long your savings will last at any withdrawal rate, investment return, and inflation rate. Model the 4% rule, add annual contributions during drawdown, compare three return scenarios side by side, and use the sustainable rate finder to calculate the maximum withdrawal that never depletes savings over 30 years.

Closing Cost Calculator

Estimate all closing costs for a home purchase or sale. Buyer side covers loan origination, title insurance, appraisal, prepaid interest, escrow reserves, and transfer taxes. Seller side shows net proceeds after agent commissions, payoff, and all settlement charges.

Overtime Pay Calculator

Calculate gross pay including regular, overtime (1.5×), and double-time (2×) earnings for any pay period. Supports FLSA federal rules, California daily OT rules, and custom multipliers. Shows a complete pay breakdown by rate type with annual projection.

Crypto Profit Calculator

Calculate cryptocurrency profit, loss, and ROI for any coin or token. Enter buy and sell prices with quantity to see net gain/loss, percentage return, short-term vs long-term capital gains tax estimate, and break-even price. Supports dollar-cost averaging across multiple entries.

HSA Calculator

Maximize your Health Savings Account with detailed tax savings across federal, state, and FICA contributions. Covers 2024–2025 IRS limits, age-55 catch-up amounts, investment growth projection, and a side-by-side comparison of spending HSA funds now versus investing for retirement.

Salary Negotiation Calculator

Compare two job offers side-by-side on total compensation — not just base salary. Quantifies the dollar value of 401k match, health insurance, PTO days, remote work savings, equity/RSU, signing bonus, and annual raise trajectory. Shows true yearly and lifetime earnings difference.

Economic Order Quantity Calculator

Calculate the optimal Economic Order Quantity (EOQ) using the Wilson formula √(2DS/H), together with reorder point (ROP), safety stock, cycle stock, average inventory, annual ordering cost, annual holding cost, and total inventory cost.

IRR Calculator

Calculate the Internal Rate of Return (IRR) and Modified IRR (MIRR) for a series of up to 20 cash flows using the Newton-Raphson iterative method. Also computes net present value at any discount rate, discounted payback period, and profitability index.

Number Theory

16 free tools · Prime numbers, factors, GCD, LCM, and other number properties.

GCD & LCM Calculator

Find the GCD and LCM of up to 10 integers using the Euclidean algorithm. Shows prime factorization, divisibility check, and full step-by-step working.

Prime Factorization Calculator

Find the prime factorization of any positive integer and check primality.

Factorial Calculator

Calculate standard factorial (n!), double factorial (n!!), and subfactorial (!n / derangements) with exact BigInt arithmetic, scientific notation, digit count, trailing zeros, Stirling approximation, and step-by-step working.

Fibonacci Calculator

Find any Fibonacci number F(n) with exact BigInt arithmetic up to F(10000), generate sequences with golden ratio convergence, and check whether any integer is a Fibonacci number using the algebraic 5n²±4 perfect-square test.

Prime Number Checker

Check if any number is prime using an optimized trial division algorithm. Also lists factors.

Perfect Number Checker

Check if a number is perfect, abundant, or deficient and find all its proper divisors.

Roman Numeral Converter

Convert between Arabic numbers and Roman numerals (I, V, X, L, C, D, M).

Number Sequence Calculator

Find the nth term of arithmetic, geometric, and other common sequences.

Digital Root Calculator

Calculate the digital root (iterated sum of digits), additive persistence, Harshad check, and multiplicative digital root for any integer up to 300 digits.

Modular Arithmetic Calculator

Perform all core modular arithmetic operations with full step-by-step working. Computes (a op b) mod n, finds modular inverses using the Extended Euclidean Algorithm, solves two-congruence systems via the Chinese Remainder Theorem, and computes modular exponentiation with repeated squaring.

Continued Fraction Calculator

Convert any decimal or fraction to its continued fraction expansion [a₀; a₁, a₂, ...] with up to 12 terms. Computes the full convergent table showing the best rational approximations at each step, the approximation error, and evaluates any given continued fraction back to its decimal value.

Big Number Calculator

Perform exact arithmetic on integers of any size using JavaScript BigInt. Supports addition, subtraction, multiplication, exponentiation, factorial, GCD, LCM, and modular arithmetic with no floating-point rounding errors. Displays the number of digits in the result and checks whether the result is prime using the Miller-Rabin primality test.

Euler's Totient Calculator

Compute Euler's totient function φ(n) — the count of integers from 1 to n that are coprime with n. Shows the prime factorization method, lists all coprimes for n ≤ 500, demonstrates multiplicativity φ(mn) = φ(m)φ(n), and verifies Euler's theorem aᵠ⁽ⁿ⁾ ≡ 1 (mod n) for any chosen a.

Catalan Number Calculator

Compute Catalan numbers Cₙ up to n = 30 using exact arithmetic. Shows the closed-form formula C(2n,n)/(n+1), the recursive formula, and a table of all values. Explains applications: number of valid bracket sequences, binary tree shapes, convex polygon triangulations, mountain ranges, and ballot paths.

Collatz Sequence Calculator

Explore the Collatz conjecture (3n+1 problem) for any positive integer. Computes the complete sequence path, stopping time, total steps, peak value, and odd-step count. Visualizes the trajectory and lets you compare stopping times across a range of starting values.

Chinese Remainder Theorem Calculator

Solve a system of simultaneous congruences x ≡ a₁ (mod m₁), x ≡ a₂ (mod m₂), … using the Chinese Remainder Theorem. Applies Garner's algorithm for pairwise-coprime moduli and shows step-by-step Bézout coefficient computation.

Physics

52 free tools · Kinematics, forces, energy, waves, electricity, and thermodynamics calculators.

Velocity Calculator

Calculate velocity, distance, or time using v = d/t.

Acceleration Calculator

Solve for acceleration, final velocity, initial velocity, time, or displacement using the five kinematic equations. Includes g-force conversion and step-by-step working.

Force Calculator

Calculate force, mass, or acceleration using Newton's Second Law (F = ma). Solve for any variable with multi-unit support (N, kN, lbf, kgf, kg, lb, slug), preset real-world scenarios, g-force output, and gravitational weight on seven Solar System bodies.

Projectile Motion Calculator

Calculate range, max height, time of flight, and trajectory.

Work & Energy Calculator

Calculate work done, kinetic energy, potential energy, and power.

Momentum Calculator

Calculate momentum, impulse, and solve collision problems.

Ohm's Law Calculator, V=IR

Calculate voltage, current, resistance, or power using Ohm's law.

Wave Calculator

Calculate wavelength, frequency, period, and wave speed.

Gravity Calculator

Calculate free fall height, time, and velocity. Compute gravitational force with Newton's law. Find surface gravity and escape velocity for any planet. NASA planet data included.

Ideal Gas Law Calculator

Solve PV = nRT for any unknown variable.

Friction Calculator

Calculate static and kinetic friction forces, find the normal force or coefficient, and solve inclined plane problems. Includes 11 material presets with published μ values.

Pendulum Calculator

Calculate the period, frequency, and length of a simple pendulum.

Spring Constant Calculator

Calculate spring constant, force, or displacement using Hooke's law (F = kx).

Coulomb's Law Calculator, Electrostatic Force

Calculate electrostatic force, charge, or distance using Coulomb's Law F = kq₁q₂/r². Supports multiple units, dielectric media, and solve-for-any-variable mode.

Capacitance Calculator

Calculate charge, voltage, energy stored, series/parallel equivalents, and RC time constants for capacitors. Multi-unit support with circuit diagrams.

Thermal Expansion Calculator

Calculate linear and volumetric thermal expansion of materials.

Pressure Calculator

Calculate pressure from force and area, convert pressure units, and compute fluid pressure.

Density Calculator

Calculate density, mass, or volume using ρ = m/V. Supports multi-unit inputs, 40+ material presets, specific gravity, buoyancy check, and full unit conversion table.

Decibel Calculator

Convert between decibels, power ratios, and amplitude ratios. Combine multiple sound sources, compute distance attenuation, and see NIOSH hearing safety limits with an SPL reference meter.

Doppler Effect Calculator

Calculate observed frequency shift for sound and light using classical and relativistic Doppler formulas. Includes medium presets, direction toggles, semitone output, and redshift z.

Centripetal Force Calculator

Solve for centripetal force, mass, velocity, or radius for circular motion. Supports linear velocity, angular velocity, frequency, and period. Includes 5 real-world presets, g-force output, and circular motion diagram.

Torque Calculator

Calculate torque from force, distance, and angle of application.

Kinetic Energy Calculator

Calculate translational and rotational kinetic energy.

Potential Energy Calculator

Calculate gravitational potential energy (mgh) and elastic potential energy (½kx²).

Snell's Law Calculator, Refraction

Calculate refraction angles and critical angles for light passing between media.

Lens Equation Calculator

Calculate focal length, object distance, image distance, and magnification for thin lenses.

Half-Life Calculator

Calculate remaining quantity, time elapsed, half-life, and decay constant using the exponential decay formula. Supports 4 modes, decay table, and isotope reference.

Escape Velocity Calculator

Calculate escape velocity, orbital speed, surface gravity, Schwarzschild radius, and orbital period for any planet, star, or celestial body. Solve for velocity, mass, or radius with solar system presets.

Buoyancy Calculator

Calculate buoyant force using Archimedes' principle (F = ρVg). Determines float or sink status, fraction submerged, apparent weight, net force, and operating leverage across Earth, Moon, Mars, and Jupiter gravity. Includes fluid and material density presets.

Heat Transfer Calculator

Calculate heat transfer by Fourier conduction, Newton convection, Stefan-Boltzmann radiation, or Q=mcΔT sensible heat. Material presets, NIST constants, step-by-step working.

Electric Power Calculator

Calculate electric power from any two of voltage, current, and resistance. Includes energy consumption in kWh and electricity cost estimation with preset appliances.

Magnetic Force Calculator

Calculate the magnetic force on a moving charge (Lorentz force) F = qvB sin(θ).

Resistor Color Code Calculator

Decode 4-band and 5-band resistor color codes to find resistance and tolerance.

Blackbody Radiation Calculator

Calculate peak wavelength, total radiated power per unit area, photon energy, and Planck spectrum for any temperature and emissivity. Visual spectrum chart included.

Reynolds Number Calculator

Calculate the Reynolds number to determine laminar or turbulent fluid flow.

Electric Field Calculator

Calculate electric field strength from point charges (E = kQ/r²), parallel plates (E = V/d), and electrostatic force (F = qE) with unit conversion and air-breakdown indicator.

Sound Intensity Calculator

Calculate sound intensity level in dB from intensity, and convert between intensity and dB.

Specific Gravity Calculator

Calculate specific gravity, relative density, and compare material density to water.

Wave Speed Calculator

Calculate wave speed, frequency, wavelength, or period using v = fλ. Supports sound, light, and all wave types across different media with unit conversion.

Kinematics Calculator

Solve all five SUVAT kinematic equations for displacement, initial velocity, final velocity, acceleration, and time. Enter any three known values and instantly solve for the remaining two.

Energy Calculator

Calculate kinetic energy (½mv²), gravitational PE (mgh), elastic PE (½kx²), thermal energy (mcΔT), and electrical energy (Pt). Convert between energy forms and units.

Specific Heat Calculator

Calculate heat energy (Q), mass (m), specific heat capacity (c), or temperature change (ΔT) using Q = mcΔT. Solve any unknown, includes a reference table of 30+ common substances, and supports calorimetry problems with heat exchange between objects.

Combined Gas Law Calculator

Solve the combined gas law for any unknown pressure, volume, or temperature. Also handles Boyle's Law (constant T), Charles's Law (constant P), and Gay-Lussac's Law (constant V) as special cases. Supports all major pressure and volume units.

Wind Chill Calculator

Calculate wind chill temperature using the official NWS formula for any air temperature and wind speed combination. Shows how cold it actually feels, frostbite risk time estimates at 30, 10, and 5 minutes, safety guidance, and a wind chill reference chart.

Heat Index Calculator

Calculate the heat index (feels-like temperature) from air temperature and relative humidity using the official NWS Rothfusz regression equation. Shows heat safety category — Caution through Extreme Danger — with practical cooling recommendations and heat illness warning signs.

Thermodynamics Calculator

Compute Gibbs free energy ΔG = ΔH − TΔS for chemical reactions at any temperature. Determines spontaneity, finds the crossover temperature where ΔG = 0, applies Hess's law to combine up to three reactions, and calculates Carnot engine efficiency, heat pump COP, and refrigerator COP.

Special Relativity Calculator

Compute relativistic effects at any velocity from 0 to c: Lorentz factor γ, time dilation Δt, length contraction L, relativistic momentum p, kinetic energy Ek, total energy E = mc², and relativistic velocity addition. Enter velocity as a fraction of c.

Photoelectric Effect Calculator

Apply Einstein's photoelectric equation E = hf − φ to compute work function (φ), threshold frequency (f₀), threshold wavelength (λ₀), stopping voltage (Vs), and photoelectron kinetic energy. Includes a table of work functions for 15 common metals.

Orbital Mechanics Calculator

Compute orbital period, circular velocity, escape speed, orbital radius, and altitude for satellites around Earth, Moon, Mars, Jupiter, or custom bodies. Supports Hohmann transfer delta-v calculation between two circular orbits. Shows orbital energy and angular momentum.

Tidal Force Calculator

Compute tidal acceleration, differential gravitational force, tidal deformation, and the Roche limit for any planet-moon or star-planet system. Includes data presets for Earth-Moon, Sun-Earth, Jupiter-Io, and Saturn-Titan, plus custom mass and distance inputs.

Mach Number Calculator

Compute Mach number, dynamic pressure, stagnation (total) temperature, stagnation pressure, and speed of sound for subsonic, transonic, and supersonic flows. Supports ISA standard atmosphere from sea level to 50 km altitude with ambient condition lookup.

Nuclear Binding Energy Calculator

Compute nuclear binding energy, mass defect (Δm), binding energy per nucleon (BE/A), and Q-value for over 100 common isotopes using CODATA atomic mass data. Compares stability across isotopes and estimates BE using the semi-empirical Bethe-Weizsäcker formula.

Linear Algebra

12 free tools · Matrices, determinants, vectors, eigenvalues, and systems of equations.

Matrix Determinant Calculator

Calculate the determinant of 2×2 and 3×3 matrices.

Matrix Multiplication Calculator

Multiply two matrices together with step-by-step dot products.

Vector Calculator

Add, subtract, find dot product, cross product, and magnitude of vectors.

Matrix Inverse Calculator

Calculate the inverse of a 2×2 or 3×3 matrix with step-by-step elimination.

Eigenvalue & Eigenvector Calculator

Calculate eigenvalues and eigenvectors for 2×2 and 3×3 matrices. Shows characteristic polynomial, eigenvectors, diagonalization, matrix properties, and step-by-step working.

Matrix Transpose Calculator

Transpose matrices of any size by swapping rows and columns.

Matrix RREF Calculator

Reduce any matrix to Row Reduced Echelon Form (RREF) using Gauss-Jordan elimination. Shows pivot positions, rank, and step-by-step row operations.

Matrix Calculator

Perform matrix addition, subtraction, multiplication, transposition, and find the determinant and inverse for 2x2, 3x3, and 4x4 matrices. Step-by-step working shown for all operations.

Cross Product Calculator

Calculate the cross product of two 3D vectors, find the resulting vector's magnitude and unit vector, verify orthogonality to both inputs, and compute the area of the parallelogram they span. Full determinant working shown with angle between vectors.

Matrix LU Decomposition

Decompose any 2×2, 3×3, or 4×4 matrix A into lower-triangular L and upper-triangular U using Doolittle's method. Shows each elimination step, uses LU to solve Ax=b via forward and back substitution, computes the determinant as the product of U's diagonal, and verifies A=LU.

Vector Projection Calculator

Compute the projection of vector u onto v in 2D or 3D, decompose u into parallel and perpendicular components, find the angle between vectors, and orthogonalize up to three vectors using the Gram-Schmidt process. Computes unit vectors, magnitudes, dot products, and scalar projections with full working.

Gram-Schmidt Calculator

Apply the Gram-Schmidt process to 2–4 linearly independent vectors in R²–R⁴ to produce an orthogonal basis and orthonormal basis. Displays the full QR decomposition Q·R = A and verifies orthogonality via dot products.

Discrete Math

13 free tools · Permutations, combinations, factorials, and set operations.

Combination Calculator

Calculate C(n,r) combinations without repetition, C̄(n,r) with repetition, P(n,r) permutations, and nʳ, all in one tool. Supports BigInt exact arithmetic for large n, step-by-step working, Pascal's triangle, combination listing, and session persistence.

Permutation Calculator

Calculate the number of permutations where order matters.

Boolean Algebra Calculator

Evaluate Boolean expressions with AND, OR, NOT, XOR, NAND, NOR, XNOR, implication, and biconditional. Generates truth tables for up to 4 variables with SOP, POS canonical forms, Σm/ΠM notation, and equivalence checking.

Combinations with Repetition

Calculate multiset combinations C̄(n,r) = C(n+r−1,r) where repetition is allowed. Features stars & bars visualization, step-by-step working, multiset listing, all four combinatorial variants, BigInt exact arithmetic, and session persistence.

Pascal's Triangle Calculator

Generate Pascal's triangle up to any row and expand (a + b)ⁿ using the binomial theorem. Shows all coefficients and the full polynomial expansion.

Set Theory Calculator

Define up to three sets A, B, C with any elements and compute all standard set operations: union, intersection, difference, symmetric difference, complement, Cartesian product, and power set. Displays a membership table, text Venn diagram, cardinality, and subset relationships.

Recurrence Relation Solver

Solve second-order linear homogeneous recurrence relations aₙ = p·aₙ₋₁ + q·aₙ₋₂ with initial conditions. Finds the characteristic equation, analyzes roots (distinct real, repeated, complex conjugate), builds the closed-form general solution, and generates the first N terms.

Sequence Analyzer

Enter any numerical sequence and automatically detect whether it is arithmetic, geometric, quadratic, cubic, Fibonacci-type, or power-based. Finds the closed-form nth term formula, builds a complete difference table at every order, generates the next N terms, and computes partial sums.

Advanced Combinatorics

Compute advanced counting numbers in one place: derangements D(n), Bell numbers B(n), Catalan numbers C(n), Stirling numbers of the second kind S(n,k), multinomial coefficients, and stars-and-bars distributions. Each result includes the definition, step-by-step working, and a real-world application.

Truth Table Generator

Generate complete truth tables for any Boolean expression with up to 4 variables. Supports AND, OR, NOT, XOR, NAND, NOR, and XNOR operators. Automatically identifies tautologies, contradictions, and contingencies, and derives the canonical DNF and CNF forms with minterm and maxterm listings.

Permutation Group Calculator

Work with permutations in cycle notation. Compose two permutations, compute the inverse, raise a permutation to any power, and find its order. Displays each permutation in two-line notation, full cycle decomposition, sign (even or odd), and supports the symmetric group Sₙ for n up to 8.

Markov Chain Calculator

Analyze discrete-time Markov chains with up to 4 states. Enter the transition probability matrix and compute: the n-step transition matrix (matrix multiplication), the steady-state (stationary) distribution by power iteration, absorption probabilities for absorbing states, and the expected return time for each state.

Game Theory Calculator

Analyze 2×2 and 3×3 two-player strategic games. Finds all pure Nash equilibria by best-response check, computes mixed Nash equilibria for 2×2 games, identifies strictly and weakly dominant strategies, determines minimax and maximin values for zero-sum games, and classifies the game type.

Advanced Equations

8 free tools · Systems of equations, matrices, and complex number operations.

Quartic Equation Solver

Solve quartic equations (ax⁴+bx³+cx²+dx+e=0) and find all four roots — real and complex — with step-by-step working, factored form, and root verification.

3-Variable System of Equations Solver

Solve systems of three linear equations with three unknowns using Gaussian elimination. Handles unique, no solution, and infinite solution cases with full step-by-step row operations.

Partial Fraction Decomposition Calculator

Decompose rational expressions P(x)/Q(x) into partial fractions. Handles linear, repeated linear, and irreducible quadratic denominator factors with step-by-step coefficient solving.

Piecewise Function Calculator & Evaluator

Define piecewise functions with up to 4 pieces, evaluate at any x, check continuity at breakpoints, identify discontinuity types, and view a table of values. Supports standard math expressions.

Exponential & Logarithmic Equation Solver

Solve all standard exponential and logarithmic equations — a·bˣ=c, eˣ=c, log₂(x)=c, ln(ax+b)=c, and quadratic-in-exponential forms — with complete step-by-step algebraic working.

Discrete Fourier Transform (DFT) Calculator

Compute the Discrete Fourier Transform of any signal sequence of up to 16 samples. Displays each frequency bin's magnitude, phase (radians and degrees), and real and imaginary components in a full results table. Computes the Inverse DFT to verify signal reconstruction and includes common signal presets.

Simplex Method Calculator

Solve two-variable linear programming problems with the simplex method. Enter the objective function (maximize or minimize) and up to four inequality constraints. Displays the initial tableau, each pivot operation with entering and leaving variables, and the final optimal solution with all basic feasible solutions listed.

Queuing Theory Calculator

Model M/M/1 (single-server) and M/M/c (multi-server) Poisson arrival queues. Computes server utilization ρ, average number in system L, average queue length Lq, mean system time W, mean wait time Wq, and probability P(n) of exactly n customers.

Graphing & Visualization

4 free tools · Plot and visualize mathematical equations and curves with downloadable graphs.

Random Generators

8 free tools · Generate random numbers, passwords, dice rolls, colors, and more.

Date & Time

11 free tools · Calculate ages, date differences, countdowns, and time conversions.

Age Calculator

Calculate your exact age in years, months, days, hours, and minutes. Includes next birthday countdown, zodiac sign, Chinese zodiac, generation, and age milestones.

Date Difference Calculator

Calculate the exact number of calendar days, business days, weeks, months, and years between any two dates. Includes hours, minutes, seconds, leap year count, and inclusive/exclusive endpoint options.

Unix Timestamp Converter

Convert between Unix timestamps and human-readable dates. Supports seconds and milliseconds.

Day of Week Calculator

Find the day of the week for any date, past, present, or future. Shows ISO week number, day of year, quarter, leap year status, zodiac sign, and a mini calendar view. Includes famous historical dates and day-offset shortcuts.

Work Hours Calculator

Calculate total work hours between a start and end time, with optional break deductions.

Shift Schedule Creator

Automatically generate weekly shift schedules for any team. Add workers, define shift types, set preferences and days-off constraints, then auto-generate a balanced calendar. Download as PDF or CSV.

Countdown Calculator

Live countdown to any date with days, hours, minutes, seconds, progress bar, business days, and saved countdowns.

Time Duration Calculator

Add or subtract time durations. Convert hours, minutes, and seconds.

Business Days Calculator

Count working days between two dates, add or subtract business days to find deadlines, and run a countdown, with US & UK holiday presets, Mon–Fri/Sun–Thu/Mon–Sat work week options, and detailed breakdowns.

Time Zone Converter

Convert times between any of 400+ time zones instantly. Compare multiple cities side by side, find the best meeting time across zones, and see DST change dates for every region.

Week Number Calculator

Find the ISO week number for any date, list all weeks in a year, and calculate the date range for any given week. Supports ISO 8601 and US/North American week numbering conventions.

Everyday Use

25 free tools · Daily utility calculators and tools for writing, timing, planning, food, pets, and quick personal tasks.

QR Code Generator

Generate scannable QR codes for URLs, text, email, phone numbers, SMS messages, Wi-Fi logins, and contact cards. Customize size, margin, colors, error correction, print size, and download PNG or SVG.

Online Timer

Set a countdown timer for work blocks, cooking, workouts, study sessions, and breaks. Includes quick presets, saved custom timers, pause/resume, progress tracking, repeat mode, and optional sound alerts.

Stopwatch

Use a precise online stopwatch with lap tracking, split times, fastest and slowest lap detection, average lap time, pace estimates, session summaries, and CSV export.

Pomodoro Timer

Plan focused work with a customizable Pomodoro timer. Set focus and break lengths, track sessions, log distractions, copy daily summaries, export logs, and auto-start breaks.

Online Notepad

Write quick notes in a clean browser notepad with local autosave, word and character counts, find and replace, copy, download, and restore. Notes stay on your device.

Text to Speech Tool

Paste text and listen in your browser with selectable voices, rate, pitch, volume, live word highlighting, queue navigation, speaking-time estimates, and copyable cue sheets.

Markdown Viewer

Preview Markdown instantly with headings, lists, links, blockquotes, code, tables, task lists, and a clean reading pane. Copy rendered HTML or plain text for docs, posts, and notes.

Lorem Ipsum Generator

Generate placeholder copy by paragraph, sentence, word count, or character target. Choose classic, plain, UI, editorial, or product copy and export plain text, HTML, Markdown, or JSON.

Text Diff Checker

Compare two blocks of text line by line and word by word. Highlights added, removed, and changed lines, shows match percentage, supports file drop, and copies JSON reports.

Alphabetize List Tool

Sort lists alphabetically, naturally, numerically, by length, word count, randomly, or by CSV column. Trim whitespace, remove duplicates, keep headers, and copy clean output.

Remove Line Breaks Tool

Remove line breaks, extra spaces, tabs, duplicate blank lines, and broken paragraph wrapping from copied text. Repair hyphenated breaks, download cleaned text, and copy cleanup reports.

Password Strength Checker

Check password strength locally in your browser. Estimates entropy, common-pattern risk, crack-time ranges, policy compliance, character diversity, and practical improvement tips.

Random Word Generator

Generate random words for writing prompts, games, naming ideas, vocabulary practice, and brainstorming. Use live word relationships or local banks, save favorites, view definitions, and export TXT or CSV.

Word Scrambler

Scramble words or phrases into letter variants for games, classroom activities, puzzles, and writing prompts. Preserve spaces, show answer keys, use timer mode, and print worksheets.

Random Team Generator

Create random teams from a list of names. Choose team count or team size, add skill scores and captains, balance teams, copy clean lists, print assignments, or export CSV.

Readability Calculator

Measure writing clarity with Flesch Reading Ease, Flesch-Kincaid, Gunning Fog, SMOG, sentence difficulty highlights, passive voice checks, audience targets, and copyable reports.

Caffeine Calculator

Estimate caffeine from coffee, tea, energy drinks, soda, pre-workout, chocolate, and custom items. Compare intake with guidance, model bedtime caffeine, find a cutoff time, and log days.

Coffee Ratio Calculator

Calculate coffee grounds and water for pour-over, drip, French press, AeroPress, cold brew, moka pot, and espresso. Choose strength, cups, ratio, brew timer, save recipes, and copy brew cards.

Cooking Time Calculator

Estimate cooking time from food type, weight, method, oven temperature, and doneness target. Includes side-dish timing, rest reminders, copyable plans, and doneness checklists.

Microwave Wattage Converter

Convert microwave cooking times between package wattage and your microwave wattage. Adjust power level, standing time, stir schedule, saved wattage, food presets, and comparison charts.

Pizza Dough Calculator

Build a pizza dough formula from dough ball count, ball weight, hydration, salt, yeast, oil, and sugar. Shows baker percentages, yeast guidance, fermentation timeline, recipe cards, and print output.

Cake Pan Converter

Convert cake recipes between round, square, rectangular, loaf, bundt, cupcake, and sheet pans. Compares area, volume, batter, fill level, bake time, and closest pan substitutes.

Dog Food Calculator

Estimate dog calories from weight, life stage, activity, neuter status, and body condition. Convert calories into cups, grams, cans, meal schedules, cost, and food transition plans.

Cat Food Calculator

Estimate cat calories from weight, life stage, neuter status, activity, and body condition. Convert calories into wet and dry portions, hydration, cost, and food transition plans.

Screen Time Calculator

Calculate how daily screen habits add up by week, month, and year. Break time into apps, compare goals, plan reductions, review week patterns, and copy an action plan.

Health & Fitness

34 free tools · Calorie needs, body fat, heart rate zones, and fitness calculators.

BMI Calculator

Calculate your BMI instantly with metric or imperial units. See your weight category, BMI Prime, Ponderal Index, healthy weight range, and personalised recommendations using WHO standards.

Calorie Calculator

Calculate daily calories using Mifflin-St Jeor, Harris-Benedict, or Katch-McArdle. Find your TDEE and set calorie targets for weight loss, maintenance, or muscle gain.

Body Fat Percentage Calculator

Estimate body fat percentage using the US Navy circumference method. See lean mass, fat mass, body composition category, and a BMI-based comparison, in metric or imperial units.

Heart Rate Zone Calculator

Calculate all 5 heart rate training zones using Max HR % or Karvonen method. Supports Standard, Tanaka, and Gellish formulas with visual zone bar chart.

Ideal Weight Calculator

Calculate ideal body weight using Devine, Robinson, Miller, and Hamwi formulas.

Water Intake Calculator

Calculate your recommended daily water intake based on weight, activity level, and climate.

Running Pace Calculator

Calculate pace, speed, distance, or time for running, walking, and cycling activities.

Macronutrient Calculator

Calculate your daily protein, carbohydrate, and fat targets based on your TDEE and goals.

BMR Calculator

Calculate your Basal Metabolic Rate (BMR) and Total Daily Energy Expenditure (TDEE) using Mifflin-St Jeor, Harris-Benedict, and Katch-McArdle formulas. Compare all three formulas and see daily calorie targets by goal.

Sleep Calculator

Calculate ideal bedtimes or wake-up times based on 90-minute sleep cycles. Find out when to sleep or wake to feel refreshed and avoid mid-cycle grogginess.

TDEE Calculator

Calculate your Total Daily Energy Expenditure (TDEE) with macro targets using the Mifflin-St Jeor, Harris-Benedict, and Katch-McArdle formulas. Set weight goals and see calorie targets for loss, maintenance, and gain.

Pregnancy Due Date Calculator

Calculate your estimated due date from LMP, conception date, IVF transfer date, or ultrasound. Get week-by-week milestones, trimester dates, and key prenatal appointment windows.

Ovulation Calculator

Predict your fertile window and ovulation date from your cycle length and last period. Includes a 6-cycle fertility calendar, basal body temperature interpretation, and the LH surge timeline.

One-Rep Max Calculator

Calculate your one-rep max using Epley, Brzycki, Lombardi, and O'Conner formulas. Get full training load percentages for 50–95% of 1RM and compare formulas to find your most accurate estimate.

Waist-to-Hip Ratio Calculator

Calculate your waist-to-hip ratio and see your WHO cardiovascular risk category. Includes waist-to-height ratio, a body shape comparison (apple vs. pear), and healthy range targets by sex and age.

VO2 Max Calculator

Estimate VO2 max from a 1.5-mile run, Rockport walk test, resting heart rate, or submaximal cycle test. Get your fitness percentile, aerobic age, and five heart-rate training zones.

Caloric Deficit Calculator

Calculate the daily calorie deficit you need to reach your goal weight by a target date. Based on TDEE and BMR. Shows safe deficit ranges, recommended macro splits, estimated weekly loss, and how long to reach your goal at different deficit levels.

Calories Burned Calculator

Calculate calories burned during any exercise or physical activity using MET values, body weight, and duration. Covers 40+ activities including running, cycling, swimming, weightlifting, and daily tasks. Compares net vs gross calories burned.

Lean Body Mass Calculator

Calculate lean body mass (LBM) using four clinical formulas: Boer, James, Hume, and Peters. Get fat mass, fat-free mass, skeletal muscle mass estimate, and ideal protein intake based on LBM. Used in medicine for drug dosing and fitness for muscle tracking.

Blood Pressure Calculator

Classify your blood pressure using 2017 AHA/ACC guidelines. Calculate pulse pressure, mean arterial pressure, and a 10-year cardiovascular risk estimate. Track multiple readings and see trend analysis.

Body Surface Area Calculator

Calculate body surface area (BSA) using five clinical formulas: Mosteller, DuBois, Haycock, Gehan-George, and Boyd. Also computes Ideal Body Weight (Devine) and Adjusted Body Weight for drug dosing. Used in oncology, anesthesiology, and clinical pharmacy.

Blood Alcohol Content Calculator

Estimate blood alcohol content using the Widmark formula. Track drinks over time by type and strength, see a live BAC elimination curve, and calculate exactly when BAC drops below 0.08% (legal limit) and 0.00% (fully sober). Not a substitute for a breathalyzer.

Race Time Predictor

Predict your finish time for any running race distance from one known performance using Riegel's formula. Covers 1 mile through 50K, includes equivalent training paces per distance, VDOT score, and personalized training zones for easy, tempo, interval, and repetition runs.

Period Calculator

Predict your next period date, fertile window, and ovulation day from your last period and average cycle length. Displays a 6-month forward calendar with all cycle events color-coded. Supports irregular cycles with adjustable length range. Not for contraceptive use.

Intermittent Fasting Calculator

Set your intermittent fasting protocol (16:8, 18:6, 20:4, OMAD, 5:2, Warrior Diet), enter your eating window start time, and get exact eating/fasting start and end times plus a daily calorie target based on your TDEE and weight goal. Includes electrolyte guidance.

Dog Age Calculator

Convert your dog's age to human years using a scientifically validated breed-size-adjusted formula — far more accurate than the outdated "multiply by 7" rule. Based on NIH epigenetic research, with life stage classification, milestone guide, and average lifespan by breed size.

Cat Age Calculator

Convert your cat's age to human years using AAFP feline life stage guidelines: kitten, junior, prime, mature, senior, and geriatric. See equivalent human age, life stage health priorities, estimated remaining lifespan, and indoor vs outdoor life expectancy comparison.

Smoking Cost Calculator

Calculate exactly how much you spend on cigarettes per day, month, and year — and see the compounding financial impact over 5, 10, and 20 years. Shows the investment equivalent of redirecting that spending and estimates the total spent since you started smoking.

Golf Handicap Calculator

Calculate your official USGA Handicap Index from up to 20 recent scorecards. Enter gross score, course rating, and slope for each round to get handicap differentials, your index, and the resulting course handicap for any rated course. Supports 9-hole adjustments.

Swimming Pace Calculator

Calculate swimming pace per 100 meters or 100 yards, generate split times for any event distance, and estimate calorie burn based on stroke and weight. Supports 25m, 25-yard, and 50m pool lengths with a full lap-by-lap split table for competitive and fitness swimmers.

Bra Size Calculator

Calculate your bra size from underbust and bust measurements in inches or centimeters. Outputs your band and cup size in US, UK, EU/European, French, and Australian sizing with sister size recommendations and a fit checklist to verify the result matches your body.

Baby Percentile Calculator

Calculate your baby's weight, length/height, and head circumference percentiles using official WHO (0–24 months) and CDC growth charts. Plots each measurement on an interactive growth curve and explains what percentile ranges mean in pediatric context.

IV Drip Rate Calculator

Calculate intravenous infusion rate in mL/hr and drops/min for gravity drips (10, 15, 20, or 60 gtt/mL sets), weight-based dosing in mcg/kg/min or mg/kg/hr, total infusion time from volume and rate, and remaining infusion time from current volume.

GFR Calculator

Estimate Glomerular Filtration Rate (GFR) using three validated equations: CKD-EPI 2021, MDRD 4-variable, and Cockcroft-Gault. Classifies CKD stage (G1–G5) per KDIGO 2022 guidelines, shows creatinine clearance, and flags dose-adjustment thresholds.

Chemistry

16 free tools · Molar mass, pH, molarity, dilution, and chemistry calculations.

Molar Mass Calculator

Calculate the molar mass of common chemical elements and simple compounds.

Molarity Calculator

Calculate molarity, moles, or volume of solutions using M = n/V formula.

pH Calculator

Calculate pH, pOH, [H⁺], and [OH⁻] concentrations for acids and bases.

Dilution Calculator

Solve any variable in C₁V₁ = C₂V₂ and generate serial dilution tables. Supports M, mM, µM, mg/mL, ppm and more.

Stoichiometry Calculator

Convert between moles and grams using molar mass. Calculate mass from moles and vice versa.

Periodic Table

Explore the full periodic table with detailed element data including atomic number, mass, electron configuration, electronegativity, density, melting point, and category. Search by name, symbol, or atomic number.

Percent Yield Calculator

Calculate percent yield, theoretical yield, or actual yield for any chemical reaction. Enter grams or moles, and get step-by-step stoichiometry working showing mole conversions, limiting reagent identification, and yield analysis.

Limiting Reagent Calculator

Find the limiting reagent, excess reactant, and theoretical yield for any balanced chemical reaction. Enter masses or moles of two reactants, and get complete stoichiometric working with mole ratios and yield calculations.

Empirical Formula Calculator

Find the empirical formula and molecular formula from mass percentages or grams of each element. Enter up to 6 elements, and see step-by-step mole calculations, ratio simplification, and molecular formula determination from molar mass.

Significant Figures Calculator

Count significant figures in any number, round to N sig figs, and perform addition, subtraction, multiplication, and division with automatic sig fig rules applied. Supports scientific notation and explains which rule was used.

Henderson-Hasselbalch Calculator

Calculate buffer pH using the Henderson-Hasselbalch equation: pH = pKa + log([A⁻]/[HA]). Solve for pH, pKa, or the acid/base ratio. Includes buffer capacity, weak base support, and common buffer presets for acetate, phosphate, TRIS, HEPES, and bicarbonate.

Chemical Equilibrium Calculator

Solve chemical equilibrium problems using ICE tables. Enter stoichiometry, equilibrium constant Kc or Kp, and initial concentrations to find equilibrium concentrations. Computes the reaction quotient Q, determines the direction of shift, and predicts Le Chatelier responses to perturbations.

Nernst Equation Calculator

Calculate electrochemical cell potential at any temperature and concentration using the Nernst equation E = E° − (RT/nF)ln Q. Supports concentration cell calculations (E° = 0), temperature variation, and solving for unknown ion concentrations when the measured potential is known.

Beer-Lambert Law Calculator

Apply the Beer-Lambert law A = εlc to compute absorbance, percent transmittance, molar absorptivity (ε), path length, or concentration from any four known quantities. Supports multi-wavelength analysis and mixture concentration estimation.

Colligative Properties Calculator

Compute the four colligative properties of solutions: boiling point elevation (ΔTb), freezing point depression (ΔTf), osmotic pressure (π), and vapor pressure lowering (ΔP). Supports electrolyte solutions via the van't Hoff i-factor for common solvents.

Arrhenius Equation Calculator

Compute the Arrhenius rate constant k, activation energy Ea, pre-exponential factor A, and reaction half-life using k = Ae^(−Ea/RT). Given two rate constants at two temperatures, back-calculates Ea. Shows temperature effect on rate with a comparison table.

Text & Encoding

9 free tools · Word count, text conversion, Base64, Morse code, and encoding tools.

Word Count Calculator

Count words, characters, sentences, paragraphs, and estimate reading time for any text.

Text Case Converter

Convert text to UPPERCASE, lowercase, Title Case, Sentence case, camelCase, or snake_case.

Base64 Encoder & Decoder

Encode text and files to Base64, decode Base64 strings, generate data URIs, and more. Supports URL-safe Base64, MIME line-wrap, and live processing.

Morse Code Converter

Convert text to Morse code and decode Morse code back to text.

ASCII & Unicode Value Calculator

Convert any character to ASCII decimal, hex, octal, binary, and UTF-8 bytes, or decode character codes back to text. Full ASCII table included.

Number to Words Converter

Convert any number (up to trillions) to its English word representation.

Reading Time Calculator

Estimate how long any text takes to read at average, fast, or slow reading speeds. Paste your text or enter word count, choose audience type, and get per-paragraph timing with speaking time comparison.

Cipher Calculator

Encode and decode text with four classical ciphers: Caesar (any shift), Vigenère (any keyword), ROT13, and Atbash. Includes letter frequency analysis comparing plaintext and ciphertext distributions, and a brute-force Caesar cracker that shows all 26 possible decryptions ranked by English letter frequency score.

Color Harmony Calculator

Enter any color as hex or RGB and instantly generate six classic color harmony palettes: complementary, analogous, triadic, split-complementary, tetradic, and square. Displays each color as a visual swatch with its hex, RGB, and HSL values. Includes contrast ratios for readability checks and a color blindness simulation overview.

Computer Science

18 free tools · Bitwise operations, binary arithmetic, RGB/HEX, and CS calculators.

Bitwise Calculator

Perform bitwise AND, OR, XOR, NOT, left shift, and right shift on 8/16/32-bit integers. Interactive bit toggle panel, colour-coded bit grid, multi-base output, and common bit manipulation patterns.

Binary Arithmetic Calculator

Add, subtract, multiply, and divide binary numbers with long-form carry/borrow visualization, column-by-column step table, multi-base output, and overflow detection.

Two's Complement Calculator

Convert integers to two's complement binary representation and back.

RGB to HEX Color Converter

Convert colors between RGB, HEX, and HSL formats instantly.

IP Subnet Calculator

Calculate subnet mask, network address, broadcast address, and usable hosts for any CIDR.

Floating Point Converter

Convert any decimal to its IEEE 754 32-bit and 64-bit binary representation, coloured bit display, field breakdown, special value detection, and hex-to-float reverse conversion. Runs entirely in your browser using JavaScript typed arrays.

Bandwidth Calculator

Calculate file transfer time from file size and connection speed. Convert between all bandwidth units (Mbps, GB, TB), estimate download/upload time, and see how many devices a connection can support simultaneously.

PPI Calculator

Calculate pixels per inch (PPI) for any screen using resolution and diagonal size. Check retina/HiDPI thresholds, get optimal viewing distance recommendations, compare devices side by side, and convert between DPI, PPI, and DPCM.

Color Contrast Checker

Check color contrast ratios against WCAG 2.1 AA and AAA standards for normal and large text. Enter hex, RGB, or HSL colors; get relative luminance values; preview text on background; and get automatic suggestions to fix failing contrast.

Hash Generator

Generate cryptographic hashes from text input or file upload using SHA-256, SHA-512, SHA-384, and SHA-1 algorithms via the browser's native Web Crypto API. Supports HMAC-SHA256 with a secret key, hex or Base64 output, and side-by-side hash comparison to verify file integrity.

Number Base Arithmetic

Perform addition, subtraction, multiplication, and division directly in any number base from 2 to 16 without first converting to decimal. Shows full carry and borrow steps column by column exactly as done by hand, with decimal cross-verification and support for binary, octal, and hexadecimal.

Binary Search Tree Calculator

Build a binary search tree from any list of values. Visualizes the tree structure as ASCII art, computes all four traversals (inorder, preorder, postorder, level-order), reports tree height, minimum and maximum values, leaf count, and balance status. Supports search and delete operations with step-by-step explanation.

Huffman Coding Calculator

Build a Huffman tree from character frequencies. Enter a text string or a custom frequency table; the calculator constructs the optimal prefix-free binary code, displays each character's codeword, and reports original size, compressed size, compression ratio, average code length, and Shannon entropy.

Hamming Code Calculator

Encode binary data words with Hamming error-correcting codes. Supports Hamming(7,4) and Hamming(15,11). Shows parity bit placement, codeword construction, and syndrome decoding. Simulate a single-bit error by flipping any bit position and watch the calculator locate and correct the error automatically.

RSA Calculator

Explore RSA public-key cryptography step by step. Enter two prime numbers p and q; the calculator derives n, φ(n), public exponent e, and private key d using the extended Euclidean algorithm. Encrypts and decrypts numeric messages with full modular exponentiation working shown at each step.

Knapsack Calculator

Solve the 0-1 knapsack optimization problem using dynamic programming. Enter items with weights and values and a capacity; the calculator builds the complete DP table, traces back the optimal item selection, reports total value and weight, and compares the result with the fractional knapsack greedy solution.

CRC Calculator

Compute CRC-8, CRC-16-IBM, and CRC-32 checksums for binary strings or ASCII text. Shows the full XOR polynomial long-division process step by step, the generator polynomial used, and the resulting remainder. Verifies data integrity by appending the CRC and confirming the syndrome is zero.

Z-Transform Calculator

Look up Z-transform pairs from a comprehensive table covering unit impulse, unit step, ramp, exponential, sine, cosine, and more. Apply linearity, time-shift, convolution, and differentiation properties. Compute the inverse Z-transform for causal rational polynomial fractions.

Engineering

23 free tools · Voltage divider, gear ratio, beam deflection, and engineering tools.

Voltage Divider Calculator

Calculate output voltage from a resistor voltage divider circuit using Vout = Vin × R2/(R1+R2).

Gear Ratio Calculator

Calculate gear ratio, output RPM, torque multiplier, and speed change for simple gear pairs and multi-stage gear trains. Visual SVG diagram included.

Beam Deflection Calculator

Calculate maximum deflection and slope for cantilever, simply supported, and fixed-fixed beams with section presets, material library, and serviceability code checks.

Pipe Flow Calculator

Calculate fluid flow rate, velocity, and pressure drop in pipes using the Darcy-Weisbach equation.

Power Factor Calculator

Calculate power factor, real power, reactive power, and apparent power for AC circuits.

Resistor Series & Parallel Calculator

Calculate equivalent resistance for resistors in series, parallel, or mixed configurations. Add or remove resistors dynamically and see the result instantly.

Concrete & Cement Calculator

Calculate concrete volume for slabs, footings, walls, columns, and circular pads. Shows bags needed (25 kg, 40 kg, 60 lb, 80 lb), cubic yards, and optional cost estimate.

Wire Gauge Calculator

Look up AWG wire gauge specs: current-carrying capacity (ampacity), resistance per foot, voltage drop, and cross-sectional area. Calculate wire size from current load and find safe circuit wire length.

Battery Life Calculator

Estimate battery runtime from capacity (mAh/Wh) and current draw. Calculate charge cycles to 80% capacity, find the right battery size for your device, and compare battery packs.

Electricity Cost Calculator

Calculate the electricity cost of any appliance or entire home. Add multiple devices with wattage and daily hours, set your kWh rate, and get daily, monthly, and annual costs with CO₂ emissions and a ranked consumption breakdown.

Solar Panel Calculator

Estimate solar panel energy production, annual savings, payback period, and 25-year net savings. Accounts for system size, local sun hours, electricity rate, installation cost, federal tax credit, and annual electricity price escalation.

Voltage Drop Calculator

Calculate voltage drop percentage for single-phase and three-phase AC circuits. Checks compliance with NEC 3% branch-circuit and 5% total-circuit limits, recommends the minimum wire gauge (AWG) to meet code, and supports both copper and aluminum conductors.

Fence Calculator

Calculate the exact number of fence posts, panels or boards, concrete bags, and total materials for any fencing project. Supports wood privacy, picket, split-rail, chain-link, and vinyl styles with custom gate placement and per-unit cost estimation.

Tile Calculator

Calculate the exact number of tiles needed for any floor, wall, or backsplash project. Accounts for waste percentage, grout width, tile orientation, and cut tiles at borders. Supports square, rectangular, and custom tile sizes with cost estimation per box or sheet.

Roof Calculator

Calculate roofing squares, shingles, bundles, felt underlayment, ridge cap, and starter strips for any roof shape. Enter footprint dimensions and pitch to get complete material quantities with a configurable waste factor for hips, valleys, and cuts.

Deck Calculator

Calculate deck boards, joists, posts, concrete footings, rim boards, and hardware for any wood or composite deck. Enter dimensions, board width, and joist spacing — with diagonal board options and a complete material summary with optional cost estimate.

Mulch Calculator

Calculate the exact cubic yards or number of bags of mulch, topsoil, gravel, or compost needed for any garden bed, lawn area, or landscaping project. Supports multiple shapes — rectangular, circular, and triangular — with bulk vs bagged cost comparison.

Carbon Footprint Calculator

Estimate your annual personal carbon footprint across four major categories: home energy use, transportation, diet and food, and consumer spending. Shows total CO₂ equivalent in metric tons, comparison to US and global averages, biggest contributor breakdown, and practical reduction actions.

RLC Circuit Calculator

Analyze series and parallel RLC circuits. Computes resonant frequency, impedance at any input frequency, damping ratio, Q factor, bandwidth, and phase angle. Classifies the circuit as overdamped, critically damped, or underdamped and shows the time-domain step response type.

Stress-Strain Calculator

Calculate normal stress, axial strain, lateral strain, shear stress, shear strain, and deformation for structural members under axial or shear loading. Includes Young's modulus, shear modulus, and bulk modulus with material presets for steel, aluminum, concrete, copper, and rubber. Computes safety factor against yield.

LMTD Calculator

Calculate the log mean temperature difference (LMTD) for counter-flow, parallel-flow, and cross-flow heat exchangers. Computes the LMTD correction factor F, overall heat transfer coefficient U, heat transfer area A, NTU-effectiveness, and heat duty Q = U·A·LMTD.

Signal-to-Noise Ratio Calculator

Calculate signal-to-noise ratio (SNR), peak signal-to-noise ratio (PSNR), noise figure (NF), noise factor, and dynamic range for audio, electronics, and imaging applications. Converts between linear power ratios and decibels, and computes thermal noise floor.

Pool Calculator

Calculate swimming pool water volume in gallons for any pool shape — rectangular, oval, round, kidney, and L-shaped. Uses volume to calculate correct chlorine, shock, alkalinity adjustment, stabilizer, and pH balancing chemical doses with turnover rate and pump run time.

Digital Marketing

21 free tools · Marketing ROI, attribution, funnel analysis, CAC, LTV, and campaign performance calculators for growth teams.

Customer Lifetime Value Calculator

Calculate customer lifetime value using three models: historic average order value, subscription churn-based LTV, and discounted predictive CLV. Returns LTV:CAC ratio, payback period, and cohort-level revenue projection to guide acquisition spend decisions.

A/B Test Calculator

Run A/B (AB) tests with both frequentist (z-test, chi-square, p-value) and Bayesian (Beta distribution) analyses. Calculate required sample size, minimum detectable effect, test duration, and the probability that variant B truly beats the control.

Marketing Attribution Calculator

Compare six attribution models — first-touch, last-touch, linear, time-decay, U-shaped, and W-shaped — across any sequence of marketing touchpoints. Enter up to 10 channels with timestamps and see how each model distributes revenue credit differently.

PPC ROAS Calculator

Calculate break-even ROAS, target CPA, and project budget performance for Google Ads, Meta, or any PPC channel. Includes impression share adjustment, quality score CPC discount and premium table, and ACOS/TACOS for Amazon advertising.

Email Revenue Calculator

Calculate your email list revenue value, revenue per subscriber (RPS), and 12-month campaign ROI. Model list decay based on monthly unsubscribe rates, deliverability tier impact on open rates, and optimal send frequency for maximum revenue.

Marketing Funnel Calculator

Map your complete marketing funnel from website visitors through leads, MQLs, SQLs, opportunities, and closed-won revenue. Calculate cost per lead at each stage, identify the highest-impact conversion leaks, and model the revenue impact of improving any stage.

SEO ROI Calculator

Estimate the true ROI of your SEO investment. Calculate organic traffic value using position-based CTR curves and CPC equivalents, size keyword opportunities by search volume, and determine the break-even timeline for content and link-building spend.

Influencer Marketing ROI Calculator

Calculate influencer marketing ROI using earned media value (EMV), cost per engagement vs. paid social benchmarks, engagement rate quality scoring, fake follower adjustment, and CPM equivalence across Instagram, TikTok, and YouTube.

Viral Coefficient Calculator

Calculate your product viral coefficient (K-factor = invites per user × conversion rate), model exponential growth curves over multiple viral cycles, and estimate the ROI of a referral program against paid acquisition benchmarks.

SaaS Churn & Revenue Retention Calculator

Analyze SaaS churn comprehensively: separate logo churn from MRR churn, calculate Net Revenue Retention (NRR) and Gross Revenue Retention (GRR), model expansion MRR, and project revenue at risk. Includes monthly cohort retention waterfall and benchmark comparison.

CAC & Payback Period Calculator

Calculate customer acquisition cost by marketing channel, blended CAC, LTV:CAC ratio, and payback period in months. Compares results against SaaS, e-commerce, and marketplace industry benchmarks to evaluate marketing efficiency at a glance.

Social Media Ads ROI Calculator

Model paid social campaign performance across Facebook, Instagram, TikTok, and LinkedIn. Convert between CPM, CPC, CPL, CPA, and ROAS using real platform benchmarks. Includes audience funnel analysis, frequency impact on CTR, and a budget scenario planner.

Content Marketing ROI Calculator

Calculate the full ROI of content marketing: production cost (writer, editor, designer hours × rate), organic traffic value using CTR curve and CPC equivalent, content decay over 36 months, and cumulative break-even month. Compare content types and see 3-year return.

Marketing Budget Mix Calculator

Analyze marketing budget allocation across up to 8 channels. Calculate ROI and marginal ROI per channel, identify Pareto top performers, compute blended ROAS, and model the revenue impact of shifting budget between underperforming and high-return channels.

Lead Scoring Calculator

Build a complete weighted lead scoring model with firmographic and behavioral attributes, set the optimal MQL threshold, and calculate expected pipeline value by score tier. See conversion rates at each score band and model the revenue impact of threshold changes.

Ad Reach & Frequency Calculator

Calculate advertising reach percentage, frequency distribution (1+, 2+, 3+ exposures), gross rating points (GRP/TRP), and effective reach for any media plan. Apply the Ostrow model to find the optimal frequency cap and visualize diminishing returns on reach.

NPS Revenue Impact Calculator

Calculate your Net Promoter Score from promoter, passive, and detractor counts, then quantify the financial impact. Computes promoter vs detractor lifetime value delta, word-of-mouth amplification multiplier, and the revenue ROI of improving NPS by 10 or 20 points.

Programmatic Advertising Calculator

Convert between CPM, CPC, CPL, and CPA for any digital campaign. Model viewability-adjusted eCPM with configurable in-view rates, apply brand safety and targeting surcharge premiums, and calculate impression delivery pace against campaign flight dates.

Cohort LTV Calculator

Analyze customer cohort retention and lifetime value with up to 12 monthly cohorts. Input cohort sizes and period-by-period retention, fit power-law decay curves, and visualize a cumulative revenue waterfall. Compare LTV at 1, 3, 6, and 12 months across cohorts.

CRO Revenue Calculator

Calculate the annual revenue impact of improving your conversion rate. Model A/B test lift-to-revenue translation, compute the paid traffic equivalent of any conversion gain, and determine the break-even period for CRO tool and agency investment.

AdSense Earnings Calculator

Estimate Google AdSense revenue with precision. Select your content niche, primary traffic country, device mix, and ad unit configuration to get pessimistic, realistic, and optimistic monthly and annual earnings ranges with seasonal adjustments and optimization insights.