Algebra and numbers

Quadratics, exponents, roots, logarithms, primes, remainders, significant figures, fractions, sequences, matrices and number bases.

• Quadratic Formula Calculator

  The roots of ax² + bx + c = 0, real or complex, the discriminant and the vertex, computed in a form that stays accurate when one root is tiny.

• Exponent Calculator

  Any number raised to any power, with whole-number results shown exactly in full, and the cases a plain calculator gets wrong handled properly.

• Root Calculator

  The square root, cube root or any nth root of a number, the simplified radical form such as 6√2, and the real cube root of a negative number.

• Logarithm Calculator

  The logarithm of a number in base 10, base 2, the natural base e or any base, with all three common logs side by side and the antilog to check it.

• Percent Error Calculator

  Percent error = |measured − true| ÷ |true| × 100: how far a measurement is from the true value, whether it was high or low, and the percent difference when neither is true.

• Prime Number Calculator

  Whether a number is prime, its prime factorisation, how many divisors it has, and the nearest primes either side, for numbers up to a trillion.

• Modulo Calculator

  The remainder of a division under all three conventions programming languages use, which disagree for negative numbers, and modular powers done exactly.

• Significant Figures Calculator

  How many significant figures a number has as written, rounding to a set number of them, and the right precision for a sum or a product.

• Decimal to Fraction Calculator

  A decimal as an exact fraction in lowest terms, repeating decimals included, or as the nearest 16th, 32nd or 64th of an inch with its rounding error.

• Mixed Number Calculator

  Add, subtract, multiply or divide mixed numbers such as 2 1/2 and 1 3/4, exactly, with the answer as a mixed number, an improper fraction and a decimal.

• Number Sequence Calculator

  The nth term and the sum of an arithmetic, geometric or Fibonacci sequence, the infinite sum where it exists, and the rule behind a few terms you type.

• Matrix Calculator

  Multiply, add or subtract two matrices, or find the determinant, inverse, transpose or rank of one, for sizes 2 × 2 to 5 × 5.

• Binary Calculator

  Convert binary to decimal, hex and octal, or add, subtract, multiply, divide, AND, OR, XOR and shift binary numbers exactly, with two’s complement at 8 to 64 bits.

• Hex Calculator

  Convert hexadecimal to decimal, binary and octal, read a hex colour as RGB, or add, subtract, multiply, divide, AND, OR, XOR and shift hex numbers exactly.

• Number Base Converter

  Convert a number between any two bases from 2 to 36, fractions included, with digits the source base does not have named and cut-off fractions flagged.

• Simplify Fraction Calculator

  Reduce a fraction to lowest terms by dividing by the greatest common factor, with Euclid’s steps, the mixed number and the decimal.

• Factorial Calculator

  The exact factorial n! of any whole number up to 1,000, every digit shown, with its double factorial n!!, digit count and trailing zeros.

• Exponential Growth Calculator

  Exponential growth or decay by x₀(1 + r)^t or x₀e^(kt): solve the final amount, starting amount, rate or time, with the doubling time or half-life.

• Vector Calculator

  Dot product, cross product, magnitudes, the angle between two vectors, their sum and difference, a unit vector and a projection, in 2D or 3D.

• System of Equations Calculator

  Solve two linear equations in x and y, or three in x, y and z, by Cramer’s rule, with every determinant shown and a plain answer when there is no single solution.

• Complex Number Calculator

  Add, subtract, multiply, divide or raise complex numbers a + bi to a power, with the modulus, argument, polar form and conjugate of the result.

• Cubic Equation Calculator

  The three roots of ax³ + bx² + cx + d = 0, real or complex, with the discriminant that says which kind to expect, by the trigonometric and Cardano methods.

• Big Number Calculator

  Exact arithmetic on whole numbers of up to 79 digits: add, subtract, multiply, divide, raise to a power or take the remainder, with every digit kept.