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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. Even and odd ordinals - Wikipedia

   en.wikipedia.org/wiki/Even_and_odd_ordinals

   The parity of α is the parity of n. [4] Let α = ωβ + n, where n is a natural number. The parity of α is the parity of n. [5] If α = 2β, then α is even. Otherwise α = 2β + 1 and α is odd. [5] [6] Unlike the case of even integers, one cannot go on to characterize even ordinals as ordinal numbers of the form β2 = β + β.

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. Parity - Wikipedia

   en.wikipedia.org/wiki/Parity

   Parity (mathematics), indicates whether a number is even or odd Parity of a permutation, indicates whether a permutation has an even or odd number of inversions; 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

7. 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 ...