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  2. Hamming weight - Wikipedia

    en.wikipedia.org/wiki/Hamming_weight

    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, [1] popcount, sideways sum, [2] or bit summation. [3]

  3. Two-out-of-five code - Wikipedia

    en.wikipedia.org/wiki/Two-out-of-five_code

    A two-out-of-five code is a constant-weight code that provides exactly ten possible combinations of two bits, and is thus used for representing the decimal digits using five bits. [1] Each bit is assigned a weight, such that the set bits sum to the desired value, with an exception for zero. According to Federal Standard 1037C:

  4. Weight function - Wikipedia

    en.wikipedia.org/wiki/Weight_function

    The maximum likelihood method weights the difference between fit and data using the same weights . The expected value of a random variable is the weighted average of the possible values it might take on, with the weights being the respective probabilities. More generally, the expected value of a function of a random variable is the probability ...

  5. Check digit - Wikipedia

    en.wikipedia.org/wiki/Check_digit

    A slightly more complex method is to take the weighted sum of the digits, modulo 10, with different weights for each number position. To illustrate this, for example if the weights for a four digit number were 5, 3, 2, 7 and the number to be coded was 4871, then one would take 5×4 + 3×8 + 2×7 + 7×1 = 65, i.e. 65 modulo 10, and the check ...

  6. Binary number - Wikipedia

    en.wikipedia.org/wiki/Binary_number

    The base-2 numeral system is a positional notation with a radix of 2.Each digit is referred to as a bit, or binary digit.Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because ...

  7. Bit numbering - Wikipedia

    en.wikipedia.org/wiki/Bit_numbering

    This table illustrates an example of an 8 bit signed decimal value using the two's complement method. The MSb most significant bit has a negative weight in signed integers, in this case -2 7 = -128. The other bits have positive weights. The lsb (least significant bit) has weight 2 0 =1. The signed value is in this case -128+2 = -126.

  8. Binary-coded decimal - Wikipedia

    en.wikipedia.org/wiki/Binary-coded_decimal

    In this clock, each column of LEDs shows a binary-coded decimal numeral of the traditional sexagesimal time. In computing and electronic systems, binary-coded decimal (BCD) is a class of binary encodings of decimal numbers where each digit is represented by a fixed number of bits, usually four or eight.

  9. Enumerator polynomial - Wikipedia

    en.wikipedia.org/wiki/Enumerator_polynomial

    In coding theory, the weight enumerator polynomial of a binary linear code specifies the number of words of each possible Hamming weight. Let C ⊂ F 2 n {\displaystyle C\subset \mathbb {F} _{2}^{n}} be a binary linear code of length n {\displaystyle n} .