The terminology comes from the similarity of AND to multiplication as in the ring structure of Boolean rings.
Mintermsedit
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.
Referencesedit
Fredrick J. Hill, and Gerald R. Peterson, 1974, Introduction to Switching Theory and Logical Design, Second Edition, John Wiley & Sons, NY, ISBN0-471-39882-9
April 14, 2024
product, term, boolean, logic, product, term, conjunction, literals, where, each, literal, either, variable, negation, contents, examples, origin, minterms, referencesexamples, editexamples, product, terms, include, displaystyle, wedge, nbsp, displaystyle, wed. In Boolean logic a product term is a conjunction of literals where each literal is either a variable or its negation Contents 1 Examples 2 Origin 3 Minterms 4 ReferencesExamples editExamples of product terms include A B displaystyle A wedge B nbsp A B C displaystyle A wedge neg B wedge neg C nbsp A displaystyle neg A nbsp Origin editThe terminology comes from the similarity of AND to multiplication as in the ring structure of Boolean rings Minterms editFor a boolean function of n displaystyle n nbsp variables x1 xn displaystyle x 1 dots x n nbsp a product term in which each of the n displaystyle n nbsp 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 editFredrick J Hill and Gerald R Peterson 1974 Introduction to Switching Theory and Logical Design Second Edition John Wiley amp Sons NY ISBN 0 471 39882 9 Retrieved from https en wikipedia org w index php title Product term amp oldid 786524106, wikipedia, wiki, book, books, library,
