A transformation of multiple-valued input two-valued output functions and its application to simplification of exclusive-or sum-of-products expressions
{"title":"A transformation of multiple-valued input two-valued output functions and its application to simplification of exclusive-or sum-of-products expressions","authors":"Tsutomu Sasao","doi":"10.1109/ISMVL.1991.130742","DOIUrl":null,"url":null,"abstract":"A transformation for p-valued input functions is presented. The number of products in minimum exclusive-or sum-of-products expressions (ESOPs) is invariant under this transformation. Algorithms for reducing the number of product terms in ESOPs using this transformation are presented for p=2 and p=4. Arithmetic functions are simplified to show the ability of this approach.<<ETX>>","PeriodicalId":127974,"journal":{"name":"[1991] Proceedings of the Twenty-First International Symposium on Multiple-Valued Logic","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"29","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings of the Twenty-First International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1991.130742","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 29
Abstract
A transformation for p-valued input functions is presented. The number of products in minimum exclusive-or sum-of-products expressions (ESOPs) is invariant under this transformation. Algorithms for reducing the number of product terms in ESOPs using this transformation are presented for p=2 and p=4. Arithmetic functions are simplified to show the ability of this approach.<>