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   variables  , a product term in which each of the   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.


  • Fredrick J. Hill, and Gerald R. Peterson, 1974, Introduction to Switching Theory and Logical Design, Second Edition, John Wiley & Sons, NY, ISBN 0-471-39882-9