Math

Bit Shift Calculator

Shift an integer's bits left or right.

Calculated Output

Result (decimal) 20

Result (binary) 10100

Formula: left shift ×2ⁿ, right shift ÷2ⁿ

Step-by-Step Breakdown

1. Values used:

2. Value (decimal) = 5

3. Shift amount = 2

5. Result (decimal) = 20

6. Result (binary) = 10100

Did this calculator solve your problem today?

The math behind it

A left shift by n multiplies by 2ⁿ; a right shift by n divides by 2ⁿ (discarding remainder bits).

5 (101) << 2 = 20 (10100).

Why use bit shifts?

They are much faster than multiplication or division on most processors.