XNOR

XNOR is the connective in logic corresponding to the exclusive nor operation. A XNOR B is equivalent to (A ^ B) v (!A ^ !B), where ^ denotes AND, v denotes OR, and !A denotes NOT. The circuit diagram symbol for an XNOR gate is illustrated above, and the XNOR truth table is given below for two arguments. For two arguments, "A XNOR B" is identical to "A iff B" and "A is equivalent to B" (A=B).

See also

AND, Binary Operator, Boolean Algebra, Connective, Equivalent, Iff, Logic, NAND, NOR, NOT, OR, Pascal's Triangle, Truth Table, XOR

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References

Simpson, R. E. "The Exclusive NOR (XNOR) Gate." §12.5.7 in Introductory Electronics for Scientists and Engineers, 2nd ed. Boston, MA: Allyn and Bacon, pp. 539 and 554, 1987.

Referenced on Wolfram|Alpha

XNOR

Cite this as:

Weisstein, Eric W. "XNOR." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/XNOR.html

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