NAND
English
Etymology
Blend of NOT + AND, by analogy with NOR reinterpreted as NOT + OR or negation + OR
Noun
NAND (plural NANDs)
- (logic) A binary operator composite of NOT AND; negation of AND function.
- 2022 August 4, William Bahn, “Boolean Algebra Laws—Delving Into Boolean Identities”, in All About Circuits[1]:
- The associativity of OR and AND is not at all obvious. It is tempting to assume that because OR and AND are commutative that they must be associative also. This is not the case, however, and some commutative Boolean operators are not associative. Examples include NAND and NOR.
| Input | Output | |
|---|---|---|
| A | B | |
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
Usage notes
- Boolean variables and states (AND, OR, NOT, TRUE, FALSE etc.) are commonly written in all uppercase in order to distinguish them from the ordinary uses of the words.
Antonyms
Derived terms
Translations
binary operator