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The Log Base 2 Calculator computes the binary logarithm (logarithm with base 2) of a number x. It is commonly written as log2(x) or lb(x).
The logarithm to base 2, also called the binary logarithm, is the power to which the number 2 must be raised to obtain the value x. Binary logarithms are commonly used in computer science and information technology.
| Log2(x) | Description | Notation | Value |
|---|---|---|---|
| log2(1) | log base 2 of 1 | lb(1) | 0 |
| log2(2) | log base 2 of 2 | lb(2) | 1 |
| log2(3) | log base 2 of 3 | lb(3) | 1.58496 |
| log2(4) | log base 2 of 4 | lb(4) | 2 |
| log2(5) | log base 2 of 5 | lb(5) | 2.32193 |
| log2(6) | log base 2 of 6 | lb(6) | 2.58496 |
| log2(7) | log base 2 of 7 | lb(7) | 2.80735 |
| log2(8) | log base 2 of 8 | lb(8) | 3 |
| log2(9) | log base 2 of 9 | lb(9) | 3.16993 |
| log2(10) | log base 2 of 10 | lb(10) | 3.32193 |
You can convert logarithms from base 10 (common log) to base 2 using:
log2(x) = log10(x) / log10(2)
More generally, to change from base b to base a:
loga(x) = logb(x) / logb(a)
This allows you to calculate log base 2 using any logarithm calculator that supports arbitrary bases.
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