{"title":"利用位管道有理数算法中的冗余","authors":"Peter Kornerup, D. Matula","doi":"10.1109/ARITH.1989.72817","DOIUrl":null,"url":null,"abstract":"The authors develop and analyze a redundant continued-fraction representation of the rationals in the implementation of an arithmetic unit for computing the sum, difference, product, quotient, and other useful functions of two rational operands. Their representation of operands and results allows the computations of the unit to be performed in a signed bit-serial, online fashion. Several such units can then be interconnected for the computation of more complicated expressions in a pipelined manner. Redundancy is used to help achieve a small bounded online delay and uniform throughput.<<ETX>>","PeriodicalId":305909,"journal":{"name":"Proceedings of 9th Symposium on Computer Arithmetic","volume":"114 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Exploiting redundancy in bit-pipelined rational arithmetic\",\"authors\":\"Peter Kornerup, D. Matula\",\"doi\":\"10.1109/ARITH.1989.72817\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors develop and analyze a redundant continued-fraction representation of the rationals in the implementation of an arithmetic unit for computing the sum, difference, product, quotient, and other useful functions of two rational operands. Their representation of operands and results allows the computations of the unit to be performed in a signed bit-serial, online fashion. Several such units can then be interconnected for the computation of more complicated expressions in a pipelined manner. Redundancy is used to help achieve a small bounded online delay and uniform throughput.<<ETX>>\",\"PeriodicalId\":305909,\"journal\":{\"name\":\"Proceedings of 9th Symposium on Computer Arithmetic\",\"volume\":\"114 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 9th Symposium on Computer Arithmetic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1989.72817\",\"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 9th Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1989.72817","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Exploiting redundancy in bit-pipelined rational arithmetic
The authors develop and analyze a redundant continued-fraction representation of the rationals in the implementation of an arithmetic unit for computing the sum, difference, product, quotient, and other useful functions of two rational operands. Their representation of operands and results allows the computations of the unit to be performed in a signed bit-serial, online fashion. Several such units can then be interconnected for the computation of more complicated expressions in a pipelined manner. Redundancy is used to help achieve a small bounded online delay and uniform throughput.<>
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