Product term explained

In Boolean logic, a product term is a conjunction of literals, where each literal iseither a variable or its negation.

Examples

Examples of product terms include:

A\wedgeB

A\wedge(\negB)\wedge(\negC)

\negA

Origin

The terminology comes from the similarity of ANDto multiplication as in the ring structure of Boolean rings.

Minterms

For a boolean function of

n

variables

{x1,...,xn}

, a product term in which each of the

n

variables appears once (in either its complemented or uncomplemented form) is called a minterm. Thus, a minterm is a logical expression of n variables that employs only the complement operator and the conjunction operator.

References