Coding theory

Hamming weight

The Hamming weight of a string is the number of symbols that are different from the zero-symbol of the alphabet used. It is thus equivalent to the Hamming distance from the all-zero string of the same length. For the most typical case, a string of bits, this is the number of 1's in the string, or the digit sum of the binary representation of a given number and the ℓ₁ norm of a bit vector. In this binary case, it is also called the population count, popcount, sideways sum, or bit summation. (Wikipedia).

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From playlist Weightlifting

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From playlist Mathematics

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From playlist Mathematics

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Related pages

Binary number | Hamming distance | Coding theory | Two's complement | Richard Hamming | Bitboard | Bit array | The Art of Computer Programming | Unary numeral system | Wavelet Tree | Find first set | LLVM | MIX | Digit sum | Information theory | Cryptography | Taxicab geometry | Cryptanalysis | Pascal's triangle | Bit | Gould's sequence | James Whitbread Lee Glaisher | Exponentiation by squaring | Irving S. Reed | MMIX | String (computer science)