Modulo Calculator
Compute the non-negative remainder after dividing one number by another.
Use for educational purposes; verify calculations for critical tasks.
Examples
- 10 mod 3 ⇒ 1
- -10 mod 3 ⇒ 2
FAQ
What is modulo?
It's the remainder left after division.
Can the divisor be negative?
Yes, the result is still non-negative.
What if the divisor is zero?
Division by zero is undefined.
Why adjust with divisor?
It ensures the remainder is always positive.
Additional Information
- Modulo operations are central to modular arithmetic, useful for cyclical patterns like clock time.
- Programming languages may implement % differently for negatives; this formula returns a non-negative remainder.
- In cryptography and hashing, modulo helps keep numbers within fixed ranges.
- The result always has the same sign as the divisor when using this adjusted method.