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  2. Parity bit - Wikipedia

    en.wikipedia.org/wiki/Parity_bit

    Accordingly, there are two variants of parity bits: even parity bit and odd parity bit. In the case of even parity, for a given set of bits, the bits whose value is 1 are counted. If that count is odd, the parity bit value is set to 1, making the total count of occurrences of 1s in the whole set (including the parity bit) an even number. If the ...

  3. Parity (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Parity_(mathematics)

    Any two consecutive integers have opposite parity. A number (i.e., integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd. That is, if the last digit is 1, 3, 5, 7, or 9, then it is odd; otherwise it is even—as the last digit of any even number is 0, 2, 4, 6, or 8.

  4. Hamming (7,4) - Wikipedia

    en.wikipedia.org/wiki/Hamming(7,4)

    The original 4 data bits are converted to seven bits (hence the name "Hamming(7,4)") with three parity bits added to ensure even parity using the above data bit coverages. The first table above shows the mapping between each data and parity bit into its final bit position (1 through 7) but this can also be presented in a Venn diagram. The first ...

  5. Parity function - Wikipedia

    en.wikipedia.org/wiki/Parity_function

    Parity only depends on the number of ones and is therefore a symmetric Boolean function.. The n-variable parity function and its negation are the only Boolean functions for which all disjunctive normal forms have the maximal number of 2 n − 1 monomials of length n and all conjunctive normal forms have the maximal number of 2 n − 1 clauses of length n.

  6. File:Hamming(7,4) example 1110 with extra parity.svg

    en.wikipedia.org/wiki/File:Hamming(7,4)_example...

    English: Example Hamming(7,4) code of the data 1110 into 0010110 and extra parity bit 1. The parity of the red, green, blue, and yellow circles are all even (red, green, & blue have 2 1's; and yellow has 4 1's).

  7. Parity - Wikipedia

    en.wikipedia.org/wiki/Parity

    Parity function, a Boolean function whose value is 1 if the input vector has an odd number of ones; Parity learning, a problem in machine learning; Parity of even and odd functions; Parity (physics), a symmetry property of physical quantities or processes under spatial inversion; Parity (biology), the number of times a female has given birth ...

  8. Parity of a permutation - Wikipedia

    en.wikipedia.org/wiki/Parity_of_a_permutation

    It is the kernel of the homomorphism sgn. [4] The odd permutations cannot form a subgroup, since the composite of two odd permutations is even, but they form a coset of A n (in S n). [5] If n > 1, then there are just as many even permutations in S n as there are odd ones; [3] consequently, A n contains n!/2 permutations.

  9. Parity flag - Wikipedia

    en.wikipedia.org/wiki/Parity_flag

    It is normally a single bit in a processor status register. For example, assume a machine where a set parity flag indicates even parity. If the result of the last operation were 26 (11010 in binary), the parity flag would be 0 since the number of set bits is odd. Similarly, if the result were 10 (1010 in binary) then the parity flag would be 1.

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