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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