Switching Systems Synthesis Method Using Permuted Gray Code Tables (PGC Method)
Abstract
Finding the shortest function on switching systems is a necessity for the development of efficient automatic systems. Currently, several methodologies aim to solve this need with different techniques. This article proposes a new methodology to find a propositional formula that describes a switching system problem using several truth tables which are based on an original one; these tables are generated using Gray Code principles and permutations. As it will be shown, the used code has a direct relation to the Hamiltonian paths, where each permutation is a different connection in a hypervolume, and each node is represented as a bit combination. An algorithm was developed using MATLAB and compared with the solutions from the software Boole-Deusto to verify and validate the applicability and implementation of the method. Finally, examples of execution, computational cost comparison and future work proposals are presented.
Downloads
By participating as Author (s) in LAJC, non-exclusive copyright is transferred to the National Polytechnic School, represented by the Department of Informatics and Computer Sciences, to publish the material submitted by the Author (s) on institutional websites, or print materials from the institution.
The National Polytechnic School and the Department of Informatics and Computer Sciences, ensure that the material will not be released, nor will be used internally for profit through paid subscriptions. The material sent will be used only for academic and scientific purposes.
