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The exclusive or (⊕) is a logical operation that returns true (or 1) if exactly one of its two operands is true, and false (or 0) otherwise. Let’s consider two statements, p and q, where p and q can be either true (T) or false (F).
Feb 24, 2012 · An XOR gate (also known as an EOR, or EXOR gate) – pronounced as “Exclusive OR gate” – is a digital logic gate that gives a true (i.e. a HIGH or 1) output when the number of true inputs is odd. An XOR gate implements an exclusive OR, i.e., a true output result occurs if one – and only one – of the gate’s inputs is true.
The exclusive or, or xor, symbol is used in logic and mathematics to denote a logical operation that outputs true only when the number of true inputs is odd. The circled plus symbol is used in math as an alternative symbol to the logical xor symbol. It is also used to denote a vector pointing into the page.
In mathematical and logical symbols, the ⊻ symbol stands for the "Xor" operation, also known as "exclusive or". Predominantly used in logic and computer science, it signifies a specific kind of disjunction.
The exclusive or, or xor, symbol is used in logic and mathematics to denote a logical operation that outputs true only when the number of true inputs is odd.
Exclusive or, exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs, XOR is true if and only if the inputs differ (one is true, one is false).
The symbol used to describe the Boolean expression for an Exclusive-OR function is a plus sign, ( + ) within a circle ( Ο ). This exclusive-OR symbol also represents the mathematical “direct sum of sub-objects” expression, with the resulting symbol for an Exclusive-OR function being given as: ( ⊕ ).
Oct 11, 2018 · A XOR gate is a gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate is also called exclusive OR gate or EXOR. In a two-input XOR gate, the output is high or true when two inputs are different. Contents show.
Jul 1, 2024 · A connective in logic known as the "exclusive or," or exclusive disjunction. It yields true if exactly one (but not both) of two conditions is true. The XOR operation does not have a standard symbol, but is sometimes denoted A xor B (this work) or A direct sum B (Simpson 1987, pp. 539 and 550-554).
The operation “exclusive or” can be defined as \[p\veebar q \Leftrightarrow (p\vee q) \wedge \overline{(p\wedge q)}.\] See Problem [ex:imply-10] in Exercises 1.2 . When we have a complex statement involving more than one logical operation, care must be taken to determine which operation should be carried out first.
