exclusive or definition 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
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
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 (img:http://upload.wikimedia.org/wikipedia/commons/e/e0/XOR.jpg).