Logical NAND

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This page belongs to resource collections on Logic and Inquiry.

The logical NAND is a logical operation on two logical values, typically the values of two propositions, that produces a value of false if and only if both of its operands are true. In other words, it produces a value of true if and only if at least one of its operands is false.

The truth table of p NAND q (also written as p | q or p ↑ q) is as follows:


Logical NAND
p q p ↑ q
F F T
F T T
T F T
T T F


Syllabus

Logical operators

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Related topics

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Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

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