1. What is Modulo Operation?

The modulo operation finds the remainder after division of one number by another. Given two positive numbers, a (the dividend) and n (the divisor), a modulo n is the remainder of the Euclidean division of a by n.

2. How Does the Calculator Work?

The calculator uses the modulo operation:

Where:

• \( Number \) — The dividend (integer)
• \( Divisor \) — The divisor (positive integer)

Explanation: The operation returns the remainder after division of the Number by the Divisor.

3. Importance of Modulo Calculation

Details: Modulo operations are fundamental in computer science (hashing, cryptography), mathematics (number theory), and engineering (signal processing).

4. Using the Calculator

Tips: Enter any integer for the Number and a positive integer for the Divisor. The calculator will return the remainder of the division.

5. Frequently Asked Questions (FAQ)

Q1: What happens if the divisor is zero?
A: Division by zero is undefined. The calculator requires a positive divisor.

Q2: How does modulo work with negative numbers?
A: The result takes the sign of the dividend. For example, -5 mod 3 = -2.

Q3: What's the difference between modulo and remainder?
A: For positive numbers they're identical. For negative numbers, some programming languages handle them differently.

Q4: What are common uses of modulo?
A: Checking even/odd (n mod 2), circular arrays, cryptography algorithms, and generating random numbers.

Q5: Can modulo be used with floating point numbers?
A: This calculator handles integers only, but some languages support floating point modulo.