{"title":"Residue arithmetic with rational operands","authors":"R. T. Gregory","doi":"10.1109/ARITH.1981.6159275","DOIUrl":null,"url":null,"abstract":"A method is described for doing residue arithmetic when the operands are rational numbers. A rational operand a/b is mapped onto the integer |a·b<sup>−1</sup>|<inf>p</inf> and the arithmetic is performed in GF(p). A method is given for taking an integer result and finding its rational equivalent (the one which corresponds to the correct rational result).","PeriodicalId":169426,"journal":{"name":"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1981-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1981 IEEE 5th Symposium on Computer Arithmetic (ARITH)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1981.6159275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
A method is described for doing residue arithmetic when the operands are rational numbers. A rational operand a/b is mapped onto the integer |a·b−1|p and the arithmetic is performed in GF(p). A method is given for taking an integer result and finding its rational equivalent (the one which corresponds to the correct rational result).
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