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Parity function information


In Boolean algebra, a parity function is a Boolean function whose value is one if and only if the input vector has an odd number of ones. The parity function of two inputs is also known as the XOR function.

The parity function is notable for its role in theoretical investigation of circuit complexity of Boolean functions.

The output of the parity function is the parity bit.

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Parity function

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algebra, a parity function is a Boolean function whose value is one if and only if the input vector has an odd number of ones. The parity function of two...

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Parity bit

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A parity bit, or check bit, is a bit added to a string of binary code. Parity bits are a simple form of error detecting code. Parity bits are generally...

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Parity

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Look up parity in Wiktionary, the free dictionary. Parity may refer to: Parity (computing) Parity bit in computing, sets the parity of data for the purpose...

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Standard RAID levels

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disks") configurations that employ the techniques of striping, mirroring, or parity to create large reliable data stores from multiple general-purpose computer...

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Boolean function

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makes a difference in the truth value or never makes a difference (a parity function). Symmetric: the value does not depend on the order of its arguments...

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Even and odd functions

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domain. They are named for the parity of the powers of the power functions which satisfy each condition: the function f ( x ) = x n {\displaystyle f(x)=x^{n}}...

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Purchasing power parity

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Purchasing power parity (PPP) is a measure of the price of specific goods in different countries and is used to compare the absolute purchasing power of...

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Exclusive or

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number of the variables are true), which is equal to the parity bit returned by a parity function. In logical circuits, a simple adder can be made with an...

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Inverse trigonometric functions

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trigonometric functions (occasionally also called arcus functions, antitrigonometric functions or cyclometric functions) are the inverse functions of the trigonometric...

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Circuit complexity

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lower bounds were shown was the parity function, which computes the sum of its input bits modulo 2. The fact that parity is not contained in AC0 was first...

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Parchive

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Parchive (a portmanteau of parity archive, and formally known as Parity Volume Set Specification) is an erasure code system that produces par files for...

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Parity of a permutation

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ordering of X is fixed, the parity (oddness or evenness) of a permutation σ {\displaystyle \sigma } of X can be defined as the parity of the number of inversions...

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Error function

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In mathematics, the error function (also called the Gauss error function), often denoted by erf, is a function defined as: erf ⁡ z = 2 π ∫ 0 z e − t 2...

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Walsh function

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transform Fast Fourier transform Harmonic analysis Orthogonal functions Walsh matrix Parity function Walsh 1923. Fine 1949. Schipp, Wade & Simon 1990. Pisier...

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Parity drive

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One way to implement a parity drive in a RAID array is to use the exclusive or, or XOR, function. XOR is a Boolean logic function which means 'one or the...

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Trigonometric functions

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mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of...

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Vitali set

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meaningful "volume" Outer measure – Mathematical function Infinite parity function – Boolean function whose value is 1 if the input vector has an odd number...

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Collatz conjecture

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measure. Moreover, its dynamics is known to be ergodic. Define the parity vector function Q acting on Z 2 {\displaystyle \mathbb {Z} _{2}} as Q ( x ) = ∑...

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Perceptron

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(Theorem 3.1.1): The parity function is conjuctively local of order n {\displaystyle n} . Theorem. (Section 5.5): The connectedness function is conjuctively...

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Parity game

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A parity game is played on a colored directed graph, where each node has been colored by a priority – one of (usually) finitely many natural numbers. Two...

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Hash function

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Implementation is based on parity-preserving bit operations (XOR and ADD), multiply, or divide. A necessary adjunct to the hash function is a collision-resolution...

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Switching lemma

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1 ) ) ) {\displaystyle \exp(\Omega (n^{1/(k-1)}))} to compute the parity function on n {\displaystyle n} bits. He was later awarded the Gödel Prize for...

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Borel set

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inverse image f − 1 [ 0 ] {\displaystyle f^{-1}[0]} of an infinite parity function f : { 0 , 1 } ω → { 0 , 1 } {\displaystyle f\colon \{0,1\}^{\omega...

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Checksum

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Reed–Solomon error correction IPv4 header checksum Hash functions List of hash functions Luhn algorithm Parity bit Rolling checksum Verhoeff algorithm File systems...

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Neural cryptography

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Output of the tree parity machine is binary. Each party (A and B) uses its own tree parity machine. Synchronization of the tree parity machines is achieved...

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JEDEC memory standards

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PC2-3200P-333-11-D2 is a 1 GB DDR2 Registered DIMM, with address/command parity function, using 2 ranks of x4 SDRAMs operational to PC2-3200 performance with...

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