# Logical conjunction

#### Dear Wikiwand AI, let's keep it short by simply answering these key questions:

Can you list the top facts and stats about Logical conjunction?

SHOW ALL QUESTIONS

In logic, mathematics and linguistics, and (${\displaystyle \wedge }$) is the truth-functional operator of conjunction or logical conjunction. The logical connective of this operator is typically represented as ${\displaystyle \wedge }$[1] or ${\displaystyle \&}$ or ${\displaystyle K}$ (prefix) or ${\displaystyle \times }$ or ${\displaystyle \cdot }$[2] in which ${\displaystyle \wedge }$ is the most modern and widely used.

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

The and of a set of operands is true if and only if all of its operands are true, i.e., ${\displaystyle A\land B}$ is true if and only if ${\displaystyle A}$ is true and ${\displaystyle B}$ is true.

An operand of a conjunction is a conjunct.

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

Oops something went wrong: