{"title":"A feasibility analysis of binary fixed-slash and floating-slash number systems","authors":"D. Matula, Peter Kornerup","doi":"10.1109/ARITH.1978.6155752","DOIUrl":null,"url":null,"abstract":"Design and analysis of finite precision rational number systems based on fixed-slash and floating-slash representation is pursued. Natural formats for binary fixed-slash and binary floating-slash number representation in computer words are described. Compatibility with standard integer representation is obtained. Redundancy in the' representation is shown to be minimal. Arithmetic register requirements are considered. Worst case and average case rounding errors are determined, and the concept of adaptive variable precision in the rounding is developed.","PeriodicalId":443215,"journal":{"name":"1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)","volume":"69 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1978-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"10","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1978.6155752","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 10
Abstract
Design and analysis of finite precision rational number systems based on fixed-slash and floating-slash representation is pursued. Natural formats for binary fixed-slash and binary floating-slash number representation in computer words are described. Compatibility with standard integer representation is obtained. Redundancy in the' representation is shown to be minimal. Arithmetic register requirements are considered. Worst case and average case rounding errors are determined, and the concept of adaptive variable precision in the rounding is developed.
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