{"title":"Multiple-valued combinational circuits with feedback","authors":"J. T. Butler, Tsutomu Sasao","doi":"10.1109/ISMVL.1994.302180","DOIUrl":null,"url":null,"abstract":"We consider the use of feedback loops in the realization of multiple-valued combinational circuits. We show that the number of purely combinational configurations in an r-valued system is 1/r of the total number. Thus, as the radix increases, the fraction of combinational configurations decreases. We also show that, for every radix value r, there is a circuit with feedback realizing a combinational logic function that has fewer gates than any feedback-free circuit.<<ETX>>","PeriodicalId":137138,"journal":{"name":"Proceedings of 24th International Symposium on Multiple-Valued Logic (ISMVL'94)","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 24th International Symposium on Multiple-Valued Logic (ISMVL'94)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1994.302180","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We consider the use of feedback loops in the realization of multiple-valued combinational circuits. We show that the number of purely combinational configurations in an r-valued system is 1/r of the total number. Thus, as the radix increases, the fraction of combinational configurations decreases. We also show that, for every radix value r, there is a circuit with feedback realizing a combinational logic function that has fewer gates than any feedback-free circuit.<>
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