A Novel Method for Solving Simultaneous Equations in Boolean/Switching Algebra. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Bhattacharjee, Pramode Ranjan
• Is Part Of: IETE journal of education. Volume 59:Issue 1(2018)
• Page Start: 18
• Page End: 25
• Publication Date: 2018-01-02
• Subjects: Minterms and maxterms of a switching function -- pseudo-Boolean programming -- Real transform of Boolean function -- Switching algebra; Electrical engineering -- Periodicals; Electronics -- Periodicals; Electrical engineering; Electronics; Periodicals; 621.381
• DOI: 10.1080/09747338.2018.1465364
• Languages: English
• ISSNs: 0970-1664

Abstract

ABSTRACT: 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.