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Product term

From Wikipedia, the free encyclopedia

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

Examples

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Examples of product terms include:

Origin

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

Minterms

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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.

References

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  • 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