# exclusive or

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## exclusive or

[ik¦sklü·siv ′ȯr]
(computer science)
An instruction which performs the “exclusive or” operation on a bit-by-bit basis for its two operand words, usually storing the result in one of the operand locations. Abbreviated XOR.
(mathematics)
A logic operator which has the property that if P is a statement and Q is a statement, then P exclusive or Q is true if either but not both statements are true, false if both are true or both are false.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## exclusive or

(logic)
(XOR, EOR) /X or, E or/ A two-input Boolean logic function whose result is true if one input is true and the other is false. The truth table is

A | B | A xor B --+---+-------- F | F | F F | T | T T | F | T T | T | F

The output is thus true if the inputs are not equal. If one input is false, the other is passed unchanged whereas if one input is true, the other is inverted.

In Boolean algebra, exclusive or is often written as a plus in a circle: "⊕". The circle may be omitted suggesting addition modulo two.

In digital logic, an exclusive or logic gate is drawn like a normal inclusive or gate but with a curved line across both inputs: exclusive or gate.

## XOR

(eXclusive OR) A Boolean logic operation that is widely used in cryptography as well as in generating parity bits for error checking and fault tolerance. XOR compares two input bits and generates one output bit. The logic is simple. If the bits are the same, the result is 0. If the bits are different, the result is 1.

Several Symbols
Various symbols are used to designate the XOR operation including a + sign inside a circle, an underlined "V" and the caret (^). See cryptography, RAID and or.

XOR in Cryptography This example uses XOR and the same "secret key" to encrypt and decrypt. Although XOR logic may be used, secret key algorithms are much more sophisticated than this. See encryption algorithm.
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References in periodicals archive ?
Technically, the court based its finding of nonequivalence on the fact that the difference between the patent claim and the defendant's stapler were not insubstantial.
is my target here--the nonequivalence of the harms of executions and
Since the cavity temperature ideally never changes, and the electrical nonequivalence and resulting thermal gradients are negligible, the LOCR's response time is determined primarily by the response time of the electronic control system, and is not limited by the heating time constant of the cavity.
Douglas Bernheim, NBER and Stanford University, "Bequests as Signals: An Explanation for the Equal Division Puzzle, Unigeniture, and Ricardian Nonequivalence"
What emerges from this brief look at the ordinary language of sameness and difference is the suspicion that claims of equality (and inequality), sameness (and difference), and equivalence (or nonequivalence) are more purposive and instrumental and less descriptive than they may seem at first sight.
Once her definitions are set, Kamm offers two main arguments (there is at least one minor argument I shall ignore) for the moral nonequivalence of killing and letting die.
Functional nonequivalence of sperm in Drosophila pseudoobscura.
Ricardo actually made the case for the nonequivalence and the inferiority of debt financing (O'Driscoll 1977).
"The Nonequivalence of High School Equivalents." Journal of Labor Economics, Vol.
Our preliminary interpretation of a possible reason for this nonequivalence concerns the outlying point indicated by the circle in Figure 4.
(1991), "The nonequivalence of high school equivalents", unpublished paper, University of Chicago, revised version, March.
The fact that Heidegger does not explicitly assert the nonequivalence of original temporality and authentic temporality does not, by itself, rule out Fleischer's contention that he implicitly does so and that, when he does not, he meant to or should have.(43) All the references to temporality as the condition of the possibility of authentic, existentiell care can be read as references to an "original temporality," the transcendental condition of care, itself "modally indifferent" with respect to matters of authenticity and inauthenticity.(44)
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