# NAND

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## NAND

[nand]
(mathematics)
A logic operator having the characteristic that if P, Q, R, … are statements, then the NAND of P, Q, R, … is true if at least one statement is false, false if all statements are true. Derived from NOT-AND. Also known as sheffer stroke.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## NAND

Not AND.

The Boolean function which is true unless both its arguments are true, the logical complement of AND:

A NAND B = NOT (A AND B) = (NOT A) OR (NOT B)

Its truth table is:

A | B | A NAND B --+---+--------- F | F | T F | T | T T | F | T T | T | F

NAND, like NOR, forms a complete set of Boolean functions on its own since it can be used to make NOT, AND, OR and any other Boolean function:

NOT A = A NAND A

A AND B = NOT (A NAND B)

A OR B = (NOT A) NAND (NOT B)

## NAND

(1) See NAND flash.

(2) (Not AND) A Boolean logic operation that is true if any one of its two inputs is false. A NAND gate is constructed of an AND gate followed by a NOT gate. All logic operations can be created from NAND gates. See Boolean logic and NAND flash.

Copyright © 1981-2019 by The Computer Language Company Inc. All Rights reserved. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher.
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