{"title":"多值输入二值输出函数的变换及其在异积和表达式简化中的应用","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":"{\"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}","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}
A transformation of multiple-valued input two-valued output functions and its application to simplification of exclusive-or sum-of-products expressions
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.<>