Logical conjunction

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In logic, mathematics and linguistics, And (${\displaystyle \wedge }$) is the truth-functional operator of logical conjunction; the and of a set of operands is true if and only if all of its operands are true. The logical connective that represents this operator is typically written as ${\displaystyle \wedge }$ or .[1][2]

Quick facts: AND, Definition, Truth table, Logic gate, Nor...
Logical conjunction
AND
Definition${\displaystyle xy}$
Truth table${\displaystyle (1000)}$
Logic gate
Normal forms
Disjunctive${\displaystyle xy}$
Conjunctive${\displaystyle xy}$
Zhegalkin polynomial${\displaystyle xy}$
Post's lattices
0-preservingyes
1-preservingyes
Monotoneno
Affineno
Close

${\displaystyle A\land B}$ is true if and only if ${\displaystyle A}$ is true and ${\displaystyle B}$ is true, otherwise it is false.

An operand of a conjunction is a conjunct.

Beyond logic, the term "conjunction" also refers to similar concepts in other fields: