Math & Units
Perform unit conversions and numerical calculations locally.
Available Tools (45)
← Back to all toolsUnit & Measurement Conversion
Unit Converter
Converts length through metre ratios and mass through kilogram ratios. Temperature uses Celsius, Fahrenheit and Kelvin offsets and scale factors. Example: 2 metres × 0.001 = 0.002 kilometres.
Roman Numeral Converter (1–3999)
Roman Numeral Converter (1–3999): Parses subtractive Roman numeral combinations (XL = 40, II = 2) and accumulates values.
Elapsed Date and Time Duration Calculator
Elapsed Date and Time Duration Calculator: Calculates difference in UTC timestamp milliseconds and converts to calendar duration.
Angle Degrees to Radians Converter
Angle Degrees to Radians Converter: Multiplies degrees by (π / 180) to compute exact radian measure.
Force Unit Converter (N / dyne / lbf)
Force Unit Converter (N / dyne / lbf): Multiplies Newtons by exact standard gravity conversion factor (1 N ≈ 0.224808943 lbf).
Torque Unit Converter (Nm / lb-ft)
Torque Unit Converter (Nm / lb-ft): Multiplies value by torque conversion ratio (1 N·m ≈ 0.737562149 ft·lb).
Pressure Unit Converter (Pa/Bar/PSI/atm)
Pressure Unit Converter (Pa/Bar/PSI/atm): Multiplies bar by exact international ratio (1 bar = 14.50377377 psi).
Energy & Work Unit Converter (J/Cal/kWh/BTU)
Energy & Work Unit Converter (J/Cal/kWh/BTU): Multiplies value by exact standard conversion constant (1 kWh = 3.6 MJ).
Power Unit Converter (W / hp / dBm)
Power Unit Converter (W / hp / dBm): Computes P(mW) = 10^(30/10) = 1000 mW = 1.0 Watt.
Tool category
Arbitrary-Precision BigInt Calculator
Arbitrary-Precision BigInt Calculator: Evaluates expression using native arbitrary-precision BigInt arithmetic without floating-point rounding.
IEEE 754 Floating-Point Visualizer
IEEE 754 Floating-Point Visualizer: Decodes 64-bit IEEE 754 structure into 1 sign bit, 11 biased exponent bits, and 52 fraction (mantissa) bits.
Scientific Calculator (Trig & Log)
Scientific Calculator (Trig & Log): Tokenizes mathematical AST, evaluates standard transcendental functions with IEEE 754 double precision.
Fraction Calculator & Simplifier
Fraction Calculator & Simplifier: Finds least common multiple of denominators (6), computes numerators (3 + 2 = 5), and checks greatest common divisor.
Matrix Multiplication Calculator
Matrix Multiplication Calculator: Computes row-by-column dot products: [1*5+2*7, 1*6+2*8; 3*5+4*7, 3*6+4*8].
Complex Number Calculator & Polar Form
Complex Number Calculator & Polar Form: Calculates modulus r = sqrt(3^2 + 4^2) = 5.0 and phase angle theta = atan2(4, 3) in radians and degrees.
Prime Factorization, GCD & LCM Calculator
Prime Factorization, GCD & LCM Calculator: Applies Euclidean algorithm for GCD and trial division for prime factor decomposition.
Percentage & Percentage Change Calculator
Percentage & Percentage Change Calculator: Computes portion of total (25/200 = 12.5%) and percentage change from 20 to 25 ((25-20)/20 = +25%).
Significant Figures (Sig Figs) Formatter
Significant Figures (Sig Figs) Formatter: Identifies leading non-zero digits and rounds to 3 significant figures using standard half-up rounding.
Quadratic Equation Solver & Discriminant
Quadratic Equation Solver & Discriminant: Evaluates discriminant Δ = b² - 4ac = 9 - 8 = 1 > 0 and calculates roots (-b ± √Δ) / 2a.
Cubic Equation Solver (Cardano/Shengjin)
Cubic Equation Solver (Cardano/Shengjin): Applies Cardano's method to resolve cubic polynomial roots.
Geometric Area & Volume Calculator (2D & 3D)
Geometric Area & Volume Calculator (2D & 3D): Computes area A = π * r² and circumference C = 2 * π * r.
Vector Math Calculator (2D & 3D)
Vector Math Calculator (2D & 3D): Calculates scalar dot product A·B, vector cross product A×B, and Euclidean norms ||A||, ||B||.
Modular Arithmetic & Multiplicative Inverse
Modular Arithmetic & Multiplicative Inverse: Executes binary modular exponentiation algorithm: 3^5 = 243, 243 mod 11 = 1.
Fibonacci Sequence & Golden Ratio
Fibonacci Sequence & Golden Ratio: Computes exact integer sequence using BigInt iterative addition to avoid 64-bit float precision loss.
2D & 3D Point Distance Calculator
2D & 3D Point Distance Calculator: Computes Euclidean distance d = sqrt((x2 - x1)^2 + (y2 - y1)^2) = sqrt(3^2 + 4^2).
Tool category
Descriptive Statistics Calculator
Descriptive Statistics Calculator: Computes arithmetic mean, median, Bessel-corrected sample variance (n-1 degrees of freedom), and standard deviation.
Standard Normal Distribution & Z-Score
Standard Normal Distribution & Z-Score: Evaluates Z = (x - μ) / σ = (85 - 70) / 10 = 1.50 and computes cumulative normal distribution probability.
Binomial & Poisson Probability Calculator
Binomial & Poisson Probability Calculator: Computes Binomial PMF: C(10, 2) * 0.5^2 * 0.5^8 and Poisson PMF: (2^2 * e^-2) / 2!.
Linear Regression & Correlation (r, r²)
Linear Regression & Correlation (r, r²): Calculates slope m = (N*Σxy - ΣxΣy) / (N*Σx^2 - (Σx)^2) and y-intercept b = (Σy - mΣx) / N.
Simple Moving Average (SMA) Calculator
Simple Moving Average (SMA) Calculator: Computes arithmetic mean over sliding contiguous windows of length 3.
Permutation & Combination (nPr, nCr)
Permutation & Combination (nPr, nCr): Evaluates permutations P(5, 2) = 5! / 3! and combinations C(5, 2) = 5! / (2! * 3!).
Random Number Generator (Uniform & Gaussian)
Random Number Generator (Uniform & Gaussian): Applies Box-Muller transform on uniform random variables to generate normally distributed values.
Dice Roll Probability Simulator
Dice Roll Probability Simulator: Calculates total outcome space (6^2 = 36) and counts outcome permutations for sum values 2 through 12.
Tool category
Compound Interest & Investment Calculator
Compound Interest & Investment Calculator: Applies compound interest formula A = P(1 + r/n)^(nt) + PMT * [((1 + r/n)^(nt) - 1) / (r/n)].
Loan Amortization & Mortgage Calculator
Loan Amortization & Mortgage Calculator: Calculates fixed monthly installment M = P * [r(1+r)^n] / [(1+r)^n - 1].
Rule of 72 Doubling Time Calculator
Rule of 72 Doubling Time Calculator: Computes Doubling Time ≈ 72 / Rate = 72 / 8.
Shopping Discount & Sale Price Calculator
Shopping Discount & Sale Price Calculator: Computes discounted subtotal ($100 * 0.80 = $80.00) and adds tax ($80.00 * 1.10).
VAT / GST & Sales Tax Calculator
VAT / GST & Sales Tax Calculator: Calculates Net Amount = Gross / (1 + Rate) = 120 / 1.20 and VAT Amount = Gross - Net.
Tip Calculator & Bill Splitter
Tip Calculator & Bill Splitter: Calculates tip amount ($15.00), total bill ($115.00), and divides by 4 people.
Nominal APR to Effective Annual Rate (EAR / APY) Converter
Nominal APR to Effective Annual Rate (EAR / APY) Converter: Computes APY = (1 + APR / n)^n - 1 = (1 + 0.12/12)^12 - 1.
Tool category
Ohm's Law & Electrical Power Calculator
Ohm's Law & Electrical Power Calculator: Computes current I = V / R = 12 / 6 = 2.0 A and electrical power P = V * I = 12 * 2 = 24.0 W.
Resistor Color Code Decoder (3/4 Bands)
Resistor Color Code Decoder (3/4 Bands): Decodes significant digits (10), multiplies by decade multiplier (10^2 = 100), and assigns tolerance.
Power and Voltage Ratio to dB Calculator
Power and Voltage Ratio to dB Calculator: Computes decibel power gain dB = 10 * log10(Power Ratio) = 10 * log10(10).
Sound Pressure Level (SPL) Attenuation
Sound Pressure Level (SPL) Attenuation: Computes SPL attenuation ΔdB = 20 * log10(d2 / d1) = 20 * log10(2 / 1) = 6.02 dB.
Tank Volume Calculator
Tank Volume Calculator: Calculates volume V = L * W * H = 100 * 50 * 20 = 100,000 cm³ and converts to liters.