Binary logarithm

Graph of log2 x as a function of a positive real number x

A 16-player single elimination tournament bracket with the structure of a complete binary tree. The height of the tree (number of rounds of the tournament) is the binary logarithm of the number of players, rounded up to an integer.

Binary search in a sorted array, an algorithm whose time complexity involves binary logarithms

In mathematics, the binary logarithm ( $log 2 n$ ) is the power to which the number $2$ must be raised to obtain the value $n$ . That is, for any real number $x$ ,

For example, the binary logarithm of $1$ is $0$ , the binary logarithm of $2$ is $1$ , the binary logarithm of $4$ is $2$ , and the binary logarithm of $32$ is $5$ .

单词	Logarithmus dualis
释义	Logarithmus dualis 英语百科 Binary logarithm In mathematics, the binary logarithm ( $log 2 n$ ) is the power to which the number $2$ must be raised to obtain the value $n$ . That is, for any real number $x$ , For example, the binary logarithm of $1$ is $0$ , the binary logarithm of $2$ is $1$ , the binary logarithm of $4$ is $2$ , and the binary logarithm of $32$ is $5$ .
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Logarithmus dualis

Binary logarithm