A Novel Method for Solving Simultaneous Equations in Boolean/Switching Algebra

This paper reports on a novel method for finding the solution(s) of a set of simultaneous equations in Boolean/Switching algebra. It is based exclusively on the sets of minterms and maxterms of switching functions involved in the given set of simultaneous equations. That such a problem of generation...

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Bibliographic Details
Published in:	IETE journal of education Vol. 59; no. 1; pp. 18 - 25
Main Author:	Bhattacharjee, Pramode Ranjan
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 02.01.2018
Subjects:	Minterms and maxterms of a switching function pseudo-Boolean programming Real transform of Boolean function Switching algebra
ISSN:	0974-7338, 0974-7338
Online Access:	Get full text
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Summary:	This paper reports on a novel method for finding the solution(s) of a set of simultaneous equations in Boolean/Switching algebra. It is based exclusively on the sets of minterms and maxterms of switching functions involved in the given set of simultaneous equations. That such a problem of generation of the solution(s) of simultaneous Boolean equations can be translated fully (when none of the given set of equations contains 0 or 1 on any one side) or partially (when at least one of the given set of equations contains 0 or 1 on any one side) to pseudo-Boolean programming has also been demonstrated by considering two examples.
ISSN:	0974-7338 0974-7338
DOI:	10.1080/09747338.2018.1465364