Question

Modulus operator computes the _________ resulting from integer division

Answer 1

The modulus operator computes the remainder of integer division. It's represented by the '%' symbol and is used to find the leftover value after division, which is essential in programming and mathematics for tasks like determining even or odd numbers.

Step-by-step explanation:

The modulus operator computes the remainder resulting from integer division. When we divide two integers, the modulus operator gives us the value that is left over after the division is complete. For example, if we divide 7 by 3, the quotient is 2 and the remainder is 1. In most programming languages, this operation is represented by the '%' symbol. So, 7 % 3 would yield the result 1.

Here's a step-by-step example to clarify the concept:

1. Take two integers, for instance, 10 and 4.
2. Divide 10 by 4. The quotient is 2 since 4 goes into 10 two times exactly.
3. Calculate the remainder. After taking out 2 sets of 4 from 10, we're left with 2. So, 10 % 4 equals 2.

This operation is particularly useful in programming and mathematics when you need to determine whether a number is even or odd, or to enforce numerical boundaries, like wrapping around array indices.