NOR
NORGate
NOR is a predicate in logic equivalent to the composition NOT OR that yields false if any condition is true, and true if all conditions are false. A NOR B is equivalent to !(A v B), where !A denotes NOT and v denotes OR. In propositional calculus, the term joint denial is used to refer to the NOR connective. Notations for NOR include A nor B and AvB (Mendelson 1997, p. 26). The NOR operation is implemented as Nor [A, B, ...]. The circuit diagram symbol for a NOR gate is illustrated above.
The binary NOR operator has the following truth table (Simpson 1987, p. 547; Mendelson 1997, p. 26).
A B A nor B
T T F
T F F
F T F
F F T
See also
AND, Binary Operator, Connective, Intersection, NAND, NOT, OR, Truth Table, XNOR, XORExplore with Wolfram|Alpha
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References
Mendelson, E. Introduction to Mathematical Logic, 4th ed. London: Chapman & Hall, p. 26, 1997.Simpson, R. E. "The NOR Gate." §12.5.4 in Introductory Electronics for Scientists and Engineers, 2nd ed. Boston, MA: Allyn and Bacon, pp. 547-548, 1987.Referenced on Wolfram|Alpha
NORCite this as:
Weisstein, Eric W. "NOR." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NOR.html