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Exclusive nor (usual symbol XNOR occasionally XAND <exclusive and>) is a logical operator in Boolean algebra. It gives the result "True" if both inputs are identical, and "False" if they are different, i.e. it is equality for Boolean values, also called logical biconditional, or if and only if. Image File history File links XNOR.JPG XNOR Logic Gate File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ...
Image File history File links XNOR.JPG XNOR Logic Gate File history Legend: (cur) = this is the current file, (del) = delete this old version, (rev) = revert to this old version. ...
In logical calculus, logical operators or logical connectors serve to connect statements into more complicated compound statements. ...
Wikibooks has more about Boolean logic, under the somewhat misleading title Boolean Algebra For a basic intro to sets, Boolean operations, Venn diagrams, truth tables, and Boolean applications, see Boolean logic. ...
When someone sincerely agrees with an assertion, they might claim that it is the truth. ...
FALSE is an esoteric programming language designed by Wouter van Oortmerssen in 1993, named after his favourite boolean value. ...
In mathematics, two mathematical objects are considered equal if they are precisely the same in every way. ...
In mathematics, a Boolean function is usually a function F(b1, b2, ... , bn) of a number n of Boolean variables bi from the two-element Boolean algebra {0,1}, and such that F also takes values in {0, 1}. A function on a general domain of a function taking values...
In logical calculus of mathematics, logical biconditional is a logical operator connecting two statements to assert, p if and only if q where p is a hypothesis (or antecedent) and q is a conclusion (or consequent). ...
↔ ⇔ ≡ logical symbols representing iff. ...
Definition
"A XNOR B" is equivalent to: "(A AND B) OR (!A AND !B)".
For two inputs A and B, the truth table of the operator is as follows. Truth tables are a type of mathematical table used in logic to determine whether an expression is true or whether an argument is valid. ...
| A | B | A xnor B | | F | F | T | | F | T | F | | T | F | F | | T | T | T |
Symbol The mathematical symbol for exclusive nor varies in the literature. In addition to the abbreviation "xnor", one may see - a wedge that is modified in some way, such as being underlined ("∧", or ⩟); this is used because exclusive nor is a modification of ordinary (inclusive) conjunction, which is typically denoted by a wedge ("∧").
Similarly, different textual notations are used, including "XAND" (eXclusive AND), "iff" (if-and-only-if), and "EQV". ↔ ⇔ ≡ logical symbols representing iff. ...
See also AND Logic Gate In mathematics, logical conjunction (usual symbol and) is a logical operator that results in false if either of the operands is false. ...
OR logic gate In mathematics, logical disjunction (usual symbol or) is a logical operator that results in true if either of the operands is true. ...
NAND Logic Gate The Sheffer stroke, |, is the negation of the conjunction operator. ...
NOR Logic Gate Logical nor (not or), joint denial, or Webb-operation is a boolean logic operator which produces a result that is the inverse of logical or. ...
Exclusive disjunction (usual symbol xor) is a logical operator that results in true if one of the operands (not both) is true. ...
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