NOR
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.
NOR
is equivalent to
, where
denotes NOT and
denotes OR. In propositional
calculus, the term joint denial is used to refer
to the NOR connective. Notations for NOR include
and
(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).
| 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
References
Mendelson, E. Introduction to Mathematical Logic, 4th ed. London, England: 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