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Logarytm binarny




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Logarytm binarny (dwójkowy) – logarytm o podstawie równej 2. Jest oznaczany na ogół symbolem log2⁡xdisplaystyle log _2x.


log2 x może być też zapisywany jako lb x (zgodne z ISO), często również jako lg x (niezgodne z ISO, gdyż jest to zapis zarezerwowany dla logarytm dziesiętny).


Logarytm dwójkowy jest szeroko stosowany w informatyce: log2⁡xdisplaystyle log _2x zaokrąglony w górę, to najmniejsza liczba bitów, w której można umieścić informację o liczbie możliwości xdisplaystyle x. Pojawia się w asymptotycznych ograniczeniach złożoności algorytmicznych, np. wtedy, kiedy algorytm korzysta ze struktury drzewa binarnego.



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