{"title":"A modified bi-imaginary number system","authors":"A. G. Slekys, A. Avizienis","doi":"10.1109/ARITH.1978.6155756","DOIUrl":null,"url":null,"abstract":"In this paper the properties of p-imaginary number systems are reviewed and a modified bi-imaginary number system is introduced as a special case with p = 2. Major properties, including conversion of integer and floating point operands represented in a radix +p system, range, sign and zero tests, and shifting are discussed. The ability to represent the operands as vectors of radix −2 digits suggests advantages in implementing machine-usable arithmetic algorithms.","PeriodicalId":443215,"journal":{"name":"1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)","volume":"207 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1978-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"1978 IEEE 4th Symposium onomputer Arithmetic (ARITH)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1978.6155756","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
In this paper the properties of p-imaginary number systems are reviewed and a modified bi-imaginary number system is introduced as a special case with p = 2. Major properties, including conversion of integer and floating point operands represented in a radix +p system, range, sign and zero tests, and shifting are discussed. The ability to represent the operands as vectors of radix −2 digits suggests advantages in implementing machine-usable arithmetic algorithms.
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