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Math Calculators
Log Base 2 Calculator
Calculate the base-2 logarithm of a number — the power to which 2 must be raised to produce it.
log₂(x)
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About the Log Base 2 Calculator
Log base 2 tells you how many times a number must be doubled starting from 1 to reach the target value — or equivalently, the exponent that 2 must be raised to.
Formula: log₂(x) = ln(x) ÷ ln(2)
Base-2 logarithms are especially common in computer science, where they measure the number of bits needed to represent a value or the depth of a binary tree.
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