Log Base 2 Calculator
Last updated: June 13, 2022
Table of contents:
What is a Log Base 2
A Log Base 2 or Logarithm with Base 2 is a mathematical operation that determines how many times a 2 number, called the base, is multiplied by itself to reach another number.
For example, 23 = 8. Therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8.
Log base 2 is also called the binary logarithm and stands for lb.
The logarithm can be a fractional number!
For example, log2 3 is approximately 1.58496, which lies between 1 and 2, just as 3 lies between 21 = 2 and 22 = 4.
Representation of a Log Base 2 function:
log2b = x, then 2x = b
If you need a logarithm calculator with a different base, use the Logarithm Calculator.
Log Base 2 Table
| log2 x | Notation | Value |
|---|---|---|
| 1 | lb(1) | 0 |
| 2 | lb(2) | 1 |
| 3 | lb(3) | 1,584963 |
| 4 | lb(4) | 2 |
| 5 | lb(5) | 2,321928 |
| 6 | lb(6) | 2,584963 |
| 7 | lb(7) | 2,807355 |
| 8 | lb(8) | 3 |
| 9 | lb(9) | 3,169925 |
| 10 | lb(10) | 3,321928 |
| 16 | lb(16) | 4 |
| 32 | lb(32) | 5 |
| 64 | lb(64) | 6 |
| 128 | lb(128) | 7 |
| 256 | lb(256) | 8 |
| 512 | lb(512) | 9 |
| 1024 | lb(1024) | 10 |
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