product term

Examples of product terms include:

:$A\; \backslash wedge\; B$

:$A\; \backslash wedge\; (\backslash neg\; B)\; \backslash wedge\; (\backslash neg\; C)$

:$\backslash neg\; A$

The terminology comes from the similarity of AND

to multiplication as in the ring structure of Boolean rings.

For a boolean function of $n$ variables $\{x\_1,\backslash dots,x\_n\}$, 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.

• 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}}

Category:Boolean algebra