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And

A term (Predicate) in Logic which yields True if one or more conditions are True, and False if any condition is False. $A$ AND $B$ is denoted $A\&B$, $A\land B$, or simply $AB$. The Binary AND operator has the following Truth Table:

$A$ $B$ $A\land B$
F F F
F T F
T F F
T T T

A Product of ANDs (the AND of $n$ conditions) is called a Conjunction, and is denoted

\begin{displaymath}
\bigwedge_{k=1}^n A_k.
\end{displaymath}


Two binary numbers can have the operation AND performed bitwise with 1 representing True and 0 False. Some computer languages denote this operation on $A$, $B$, and $C$ as A&&B&&C or logand(A,B,C).

See also Binary Operator, Intersection, Not, Or, Predicate, Truth Table, XOR




© 1996-9 Eric W. Weisstein
1999-05-25