Product term

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

Examples of product terms include:

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

For a boolean function of ${\displaystyle n}$ variables ${\displaystyle {x_{1},\dots ,x_{n}}}$, a product term in which each of the ${\displaystyle n}$ 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.

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