Log Base 2 Calculator
Calculate log base 2, also called the binary logarithm. See exact powers of two, decimal results, and bit length for positive integers.
Decimal approximation: 3
What log base 2 is used for
Log base 2 is the binary logarithm. English SERP intent is strongly tied to powers of two, computer science, bit length, binary ranges, and algorithm analysis.
x is the positive input value and y is the binary logarithm.
- Exact powers of two return whole-number results.
- Fractions such as 1/8 return negative results.
- Non-powers of two return decimal approximations.
- Positive integers also show bit length for binary representation.
Bit length and powers of two
n is a positive integer. This gives the number of bits needed to write n in binary.
| Input | log2(input) | Bit length |
|---|---|---|
| 8 | 3 | 4 bits |
| 10 | about 3.322 | 4 bits |
| 256 | 8 | 9 bits |
| 1024 | 10 | 11 bits |
Frequently Asked Questions
Sources and References
Calculations are based on the listed reference sources. Links open in a new tab.
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