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Date: 9-1-2022
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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).
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T | T | F |
T | F | F |
F | T | F |
F | F | T |
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.
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