Modular Arithmetic Calculator
Calculate a mod n (remainder after division). Handles positive integers using the modulo operation.
How to Use the Modular Arithmetic Calculator
- Enter the number a.
- Enter the modulus n (positive integer).
- Click Calculate to see a mod n, the quotient, and the full expression.
Referência Rápida
| De | Para |
|---|---|
| 17 mod 5 | 2 |
| 100 mod 7 | 2 |
| 256 mod 16 | 0 |
| 365 mod 7 | 1 |
| 1000 mod 3 | 1 |
Casos de Uso
- •Computing remainders in number theory problems.
- •Checking divisibility rules in arithmetic.
- •Understanding cyclic patterns in programming.
Fórmula
a mod n = a − n × floor(a / n). The result is always in the range [0, n−1].
Perguntas Frequentes
What is modular arithmetic?
Arithmetic where numbers wrap around after reaching a certain value (the modulus), like a clock wrapping at 12.
What happens with negative numbers?
This calculator handles positive integers. The result is always non-negative.
Where is mod used?
In cryptography (RSA), hash functions, checksums, cyclic scheduling, and clock arithmetic.