Log Base 2 Calculator

Find the base-2 logarithm of a number.

log₂(x) 8

Formula: log₂(x) = ln(x) ÷ ln(2)

Step-by-step with your numbers:

1. Values used:

2. Number = 256

4. log₂(x) = 8

Did we solve your problem today?

Base-2 logs count doublings — central to computing.

The math behind it

log₂(x) answers: 2 to what power equals x?

log₂(256) = 8.

Use?

Bits needed to represent values, and algorithm complexity.