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NOT

NOTGate

An connective in logic which converts true to false and false to true. NOT A is denoted !A, ¬A, A^_ (Simpson 1987, p. 537) or ∼A (Carnap 1958, p. 7; Mendelson 1997, p. 12). The NOT operation is implemented in the Wolfram Language as Not[A], or !A. The circuit diagram symbol for a NOT gate is illustrated above.

The NOT operation has the following truth table (Carnap 1958, p. 10; Simpson 1987, p. 546; Mendelson 1997, p. 12).

A!A
TF
FT

See also

AND, Connective, NAND, NOR, OR, Truth Table, XNOR, XOR

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References

Carnap, R. Introduction to Symbolic Logic and Its Applications. New York: Dover, pp. 7 and 10, 1958.Mendelson, E. Introduction to Mathematical Logic, 4th ed. London: Chapman & Hall, p. 12, 1997.Simpson, R. E. "The NOT Gate." §12.5.3 in Introductory Electronics for Scientists and Engineers, 2nd ed. Boston, MA: Allyn and Bacon, pp. 546-547, 1987.

Referenced on Wolfram|Alpha

NOT

Cite this as:

Weisstein, Eric W. "NOT." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/NOT.html

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