{"title":"一个改进的双虚数系统","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":"{\"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}","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}
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.