Metraipolis › archive › dc_62887f3b33bc

Binary logarithm — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Binary_logarithm
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-15T18:16:41.687Z
SHA-256 of the archived text: 1aa6bdf87813b7008041bbb610ea8a3d70a89685c7b7342c4f52aa54a57aa838
Stable URL of this page: https://metraipolis.com/documento/dc_62887f3b33bc

How to cite

Binary logarithm — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Binary_logarithm (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_62887f3b33bc (Metraipolis archive dc_62887f3b33bc, sha256 1aa6bdf87813b7008041bbb610ea8a3d70a89685c7b7342c4f52aa54a57aa838)

BibTeX

@misc{dc62887f3b33bc,
  title = {Binary logarithm — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Binary_logarithm},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_62887f3b33bc; sha256 1aa6bdf87813b7008041bbb610ea8a3d70a89685c7b7342c4f52aa54a57aa838},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Binary_logarithm. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In mathematics, the binary logarithm (log2 n) is the power to which the number 2 must be raised to obtain the value n. That is, for any real number x, x = log 2 n ⟺ 2 x = n . {\displaystyle x=\log _{2}n\quad \Longleftrightarrow \quad 2^{x}=n.} 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. The binary logarithm is the logarithm to the base 2 and is the inverse function of the power of two function. There are several alternatives to the log2 notation for the binary logarithm; see the Notation section below. Historically, the first application of binary logarithms was in music theory, by Leonhard Euler: the binary logarithm of a frequency ratio of two musical tones gives the number of octaves by which the tones differ. Binary logarithms can be used to calculate the length of the representation of a number in the binary numeral system, or the number of bits needed to encode a message in information theory. In computer science, they count the number of steps needed for binary search and related algorithms. Other areas in which the binary logarithm is frequently used include combinatorics, bioinformatics, the design of sports tournaments, and photography. Binary logarithms are included in the standard C mathematical functions and other mathematical software packages.

Tema degli esploratori: scienze della vita e salute (deposito sistematico; ricerca «bioinformatics»).
Fonte: Wikipedia in inglese, voce «Binary logarithm» — https://en.wikipedia.org/wiki/Binary_logarithm
Wikidata Q581168: «mathematical function» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q581168
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Binary_logarithm?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1375440566, consultata il 2026-10-15T17:44:11.224Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 6e5b125f026d85bda358a898884e1e75b67945c055b0c3ae17f77fb38c56c2f4