Toolbox

Tools

Interactive calculators and step-by-step explanations, grouped by subject.

Discrete Structures

Number theory, algebra and combinatorics — the mathematical foundations of computer science.

Extended Euclidean Algorithm
Computes the greatest common divisor of two integers together with the Bézout coefficients λ and μ — optionally in ℤ_p to find a modular inverse.
Sign of a Permutation
Determines the sign sgn(π) = (−1)^(n−z) of a permutation from its disjoint cycle decomposition — even (+1) or odd (−1).

Computer Engineering

Digital logic and computer architecture — how hardware performs computation.

Adder Networks
Adds two 4-bit numbers with the von Neumann, parallel or serial adder and shows the bit/decimal step table with carry/overflow u.

Linear Algebra

Matrices, vectors and linear systems — the foundation for computer science and engineering.

Matrix Calculator
Add, multiply, determinant, inverse, rank, row-echelon form and solving linear systems — exact with fractions and step-by-step.