concept
Modular Arithmetic
Modular arithmetic is a system of arithmetic for integers where numbers 'wrap around' upon reaching a certain value called the modulus. It deals with remainders after division, often represented as a ≡ b (mod n), meaning a and b have the same remainder when divided by n. This concept is fundamental in number theory and has wide applications in computer science, cryptography, and engineering.
Also known as: Clock arithmetic, Modulo arithmetic, Congruence arithmetic, Mod n arithmetic, Remainder arithmetic
🧊Why learn Modular Arithmetic?
Developers should learn modular arithmetic for tasks involving cyclic patterns, hashing algorithms, and cryptographic systems like RSA and Diffie-Hellman. It's essential for implementing features such as circular buffers, time calculations (e.g., clock arithmetic), and checksums, ensuring efficient and secure computations in software development.