🔢 Modulo Calculator
Calculate the remainder (modulo) when dividing one number by another. Supports positive and negative numbers.
What Is Modulo?
The modulo operation (a mod b) returns the remainder after dividing a by b. For example, 17 mod 5 = 2 because 17 = 3 × 5 + 2. This calculator uses the mathematical definition where the result is always non-negative when b is positive.
Uses of Modulo
Modulo is fundamental in computer science for hash functions, circular buffers, and clock arithmetic. It is used in cryptography (modular exponentiation), determining even/odd numbers (n mod 2), and cyclic patterns. In everyday life, clock arithmetic (12-hour time) is modulo 12.
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