Modulo Operation

Overview

The Modulo Operation is a helpfull tool in Programming, e.g. to check if a number is even or odd. It also can be used fpr save indexing of arrays.

Here are some notes and examples on modulo operations.

Content

Modulo Basics

The modulo operation is a division between integers that returns the remainder. In Programming Languages, the modulo operator is written as %.

EXAMPLE: 3 % 2 = 1 because the calculation works as follows:

1. Perform integer division: 3 / 2 = 1 (ignoring the decimal part).
2. Rewrite the equation in terms of multiplication and remainder: 3 = 2 * 1 + REMAINDER.
3. Since 3 - (2 * 1) = 1 we get this: 3 % 2 = 1.

Another Example: 19 % 3 = 1 because:

1. 19 / 3 = 6, (ignore the decimal part).
2. 19 = 3 * 6 + REMAINDER
3. 19 - (3 * 6) = 1

Check for even and odd numbers

By checking if a NUMBER % 2 = 0 you can fast check if any number is even or odd. This operation checks if NUMBER is evenly divisble by 2. If so NUMBER is even, if not NUMBER is odd.

Example in C-Programming Language

#include <stdio.h>
 
int main()
{
  int my_number = 4267;
 
  if ((my_number % 2) == 0)
	{
	  printf("The number %d is a even number\n", my_number);
	} else
	{
	  printf("The number %d is a odd number\n", my_number);
	}
 
  return 0;
}

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