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  2. Truncated binary encoding - Wikipedia

    en.wikipedia.org/wiki/Truncated_binary_encoding

    Truncated binary encoding is an entropy encoding typically used for uniform probability distributions with a finite alphabet. It is parameterized by an alphabet with total size of number n . It is a slightly more general form of binary encoding when n is not a power of two .

  3. Prefix code - Wikipedia

    en.wikipedia.org/wiki/Prefix_code

    Truncated binary encoding is a straightforward generalization of fixed-length codes to deal with cases where the number of symbols n is not a power of two. Source symbols are assigned codewords of length k and k+1, where k is chosen so that 2 k < n ≤ 2 k+1.

  4. Unary coding - Wikipedia

    en.wikipedia.org/wiki/Unary_coding

    Unary coding, [nb 1] or the unary numeral system and also sometimes called thermometer code, is an entropy encoding that represents a natural number, n, with a code of length n + 1 ( or n), usually n ones followed by a zero (if natural number is understood as non-negative integer) or with n − 1 ones followed by a zero (if natural number is understood as strictly positive integer).

  5. Binary code - Wikipedia

    en.wikipedia.org/wiki/Binary_code

    The modern binary number system, the basis for binary code, is an invention by Gottfried Leibniz in 1689 and appears in his article Explication de l'Arithmétique Binaire (English: Explanation of the Binary Arithmetic) which uses only the characters 1 and 0, and some remarks on its usefulness. Leibniz's system uses 0 and 1, like the modern ...

  6. Bit numbering - Wikipedia

    en.wikipedia.org/wiki/Bit_numbering

    A diagram showing how manipulating the least significant bits of a color can have a very subtle and generally unnoticeable effect on the color. In this diagram, green is represented by its RGB value, both in decimal and in binary. The red box surrounding the last two bits illustrates the least significant bits changed in the binary representation.

  7. Hamming code - Wikipedia

    en.wikipedia.org/wiki/Hamming_code

    All other bit positions, with two or more 1 bits in the binary form of their position, are data bits. Each data bit is included in a unique set of 2 or more parity bits, as determined by the binary form of its bit position. Parity bit 1 covers all bit positions which have the least significant bit set: bit 1 (the parity bit itself), 3, 5, 7, 9 ...

  8. BCH code - Wikipedia

    en.wikipedia.org/wiki/BCH_code

    One of the key features of BCH codes is that during code design, there is a precise control over the number of symbol errors correctable by the code. In particular, it is possible to design binary BCH codes that can correct multiple bit errors.

  9. Signed number representations - Wikipedia

    en.wikipedia.org/wiki/Signed_number_representations

    In the base −2 representation, a signed number is represented using a number system with base −2. In conventional binary number systems, the base, or radix, is 2; thus the rightmost bit represents 2 0, the next bit represents 2 1, the next bit 2 2, and so on. However, a binary number system with base −2 is also possible.