{"title":"带反馈的多值组合电路","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":"{\"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}","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}
Multiple-valued combinational circuits with feedback
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.<>