Log Base 2 Calculator

This simple tool computes the value of Log₂(x) for any value of x

Formula

Log₂​(x) = y

Background

What is Log Base 2?

The logarithm with base 2 is the inverse operation of raising 2 to a power. In mathematical terms:

Log⁡₂(x) = y  ⟹  2^y = x

This means that log base 2 of a number x gives the power to which 2 must be raised to get x.

For example: Log⁡₂(8) = 3 since 2³=8

Log base 2 is often called the binary logarithm, and it has significant importance in computer science, especially in measuring the time complexity of algorithms and working with binary systems.

Log Base 2 Table of Values