Mod Calculator

Modulus Operation:

\[ a \mod b = remainder \ of \ a \ divided \ by \ b \]

Result (a mod b):

The modulus operation finds the remainder after division of one number by another. In mathematics, it's often called the "remainder operation."

The modulus operation is calculated as:

\[ a \mod b = remainder \ of \ a \div b \]

Where:

Example: \( 10 \mod 3 = 1 \) because 10 divided by 3 is 3 with a remainder of 1.

Details: Modulus operations are used in programming, cryptography, time calculations, and determining even/odd numbers.

Tips: Enter any number for dividend (a) and any non-zero number for divisor (b). The calculator will return the remainder of a divided by b.

Q1: What happens if b is zero?
A: Division by zero is undefined, so the calculator requires b to be non-zero.

Q2: Can modulus be negative?
A: Yes, the result takes the sign of the dividend (a). For example, -10 mod 3 = -1.

Q3: How is modulus different from remainder?
A: In mathematics, they're the same. Some programming languages handle negative numbers differently.

Q4: What's the difference between mod and division?
A: Division gives the quotient, while modulus gives the remainder.

Q5: Can modulus be used with decimals?
A: Yes, the calculator supports decimal numbers. Example: 10.5 mod 3.2 = 0.9.