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- Logical_equality abstract "Logical equality is a logical operator that corresponds to equality in Boolean algebra and to the logical biconditional in propositional calculus. It gives the functional value true if both functional arguments have the same logical value, and false if they are different.It is customary practice in various applications, if not always technically precise, to indicate the operation of logical equality on the logical operands x and y by any of the following forms:Some logicians, however, draw a firm distinction between a functional form, like those in the lefthand column, which they interpret as an application of a function to a pair of arguments — and thus a mere indication that the value of the compound expression depends on the values of the component expressions — and an equational form, like those in the righthand column, which they interpret as an assertion that the arguments have equal values, in other words, that the functional value of the compound expression is true.In mathematics, the plus sign "+" almost invariably indicates an operation that satisfies the axioms assigned to addition in the type of algebraic structure that is known as a field. For boolean algebra, this means that the logical operation signified by "+" is not the same as the inclusive disjunction signified by "∨" but is actually equivalent to the logical inequality operator signified by "≠", or what amounts to the same thing, the exclusive disjunction signified by "XOR". Naturally, these variations in usage have caused some failures to communicate between mathematicians and switching engineers over the years. At any rate, one has the following array of corresponding forms for the symbols associated with logical inequality: This explains why "EQ" is often called "XNOR" in the combinational logic of circuit engineers, since it is the Negation of the XOR operation; NXOR is a less commonly used alternative.[citation needed] Another rationalization of the admittedly circuitous name "XNOR" is that one begins with the "both false" operator NOR and then adds the eXception, "or both true".".
- Logical_equality thumbnail XNOR_ANSI_Labelled.svg?width=300.
- Logical_equality wikiPageExternalLink XNOR.html.
- Logical_equality wikiPageID "3092370".
- Logical_equality wikiPageRevisionID "606429270".
- Logical_equality hasPhotoCollection Logical_equality.
- Logical_equality subject Category:Logic_gates.
- Logical_equality subject Category:Logical_connectives.
- Logical_equality type BinaryOperations.
- Logical_equality type BooleanOperation113440935.
- Logical_equality type DataProcessing113455487.
- Logical_equality type Operation113524925.
- Logical_equality type PhysicalEntity100001930.
- Logical_equality type Process100029677.
- Logical_equality type Processing113541167.
- Logical_equality comment "Logical equality is a logical operator that corresponds to equality in Boolean algebra and to the logical biconditional in propositional calculus.".
- Logical_equality label "Igualdade lógica".
- Logical_equality label "Logical equality".
- Logical_equality label "Эквиваленция".
- Logical_equality sameAs Igualdade_lógica.
- Logical_equality sameAs m.08qwv6.
- Logical_equality sameAs Q3308477.
- Logical_equality sameAs Q3308477.
- Logical_equality sameAs Logical_equality.
- Logical_equality wasDerivedFrom Logical_equality?oldid=606429270.
- Logical_equality depiction XNOR_ANSI_Labelled.svg.
- Logical_equality isPrimaryTopicOf Logical_equality.
