AND | |
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Definition | |
Truth table | |
Logic gate | ![]() |
Normal forms | |
Disjunctive | |
Conjunctive | |
Zhegalkin polynomial | |
Post's lattices | |
0-preserving | yes |
1-preserving | yes |
Monotone | no |
Affine | no |
Self-dual | no |
Logical connectives | ||||||||||||||||||||||
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Related concepts | ||||||||||||||||||||||
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In logic, mathematics and linguistics, and () is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as [1] or or (prefix) or or [2] in which is the most modern and widely used.
The and of a set of operands is true if and only if all of its operands are true, i.e., is true if and only if is true and is true.
An operand of a conjunction is a conjunct.[3]
Beyond logic, the term "conjunction" also refers to similar concepts in other fields: