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# A XOR B XOR C LOGIC DIAGRAM

XOR gate - Wikipedia
OverviewSymbolsPass-gate-logic wiringAlternativesMore than two inputsApplicationsXOR gate is a digital logic gate that gives a true output when the number of true inputs is odd. An XOR gate implements an exclusive or; that is, a true output results if one, and only one, of the inputs to the gate is true. If both inputs are false or both are true, a false output results. XOR represents the inequality function, i.e., the output is true if the inputs are not alike otherwise the output is false. A way to remember XOR is "must have one or the other but not both". XOR can also beSee more on enpedia · Text under CC-BY-SA license
Exclusive or - Wikipedia
OverviewEquivalences, elimination, and introductionRelation to modern algebraExclusive "or" in EnglishExclusive or or exclusive disjunction is a logical operation that outputs true only when inputs differ. It is symbolized by the prefix operator J and by the infix operators XOR, EOR, EXOR, ⊻, ⩒, ⩛, ⊕, ↮, and ≢. The negation of XOR is logical biconditional, which outputs true only when both inputs are the same. It gains the name "exclusive or" because the meaning of "or" is ambiguous when both operands are true; the exclusive or operator excludes that case. This is sometimes..See more on enpedia · Text under CC-BY-SA license0-preserving: yesTruth table: (, 0110, ), {\displaystyle (0110)}1-preserving: noZhegalkin polynomial: x, ⊕<!-- ⊕ -->, y, {\displaystyle x\oplus y}
boolean algebra - Definition of XOR, and how to remember
So the following boolean expression: a'b'c + a'bc' + ab'c' + abc. Can be simplified to: a XOR b XOR c. By the definition of XOR: XOR = 1 iff an odd number of ones from each term.