{"title":"用符号逆二补码表示指数时浮点数绝对值的比较","authors":"O. Samoshchenko, H. Marhiiev, O. Miroshkin","doi":"10.1109/ATIT50783.2020.9349292","DOIUrl":null,"url":null,"abstract":"Comparison of floating-point numbers absolute values is implemented by a joint one-step analysis of operands exponents and fractions. Rules for determination of comparison signs for floating-point numbers absolute values, when exponents and fractions are canonically represented, are formulated and mathematically confirmed. An algorithm for a modulo adder usage for initial floating-point values fractions comparison is analytically substantiated. An operation’s implementation with the usage of sign-inverse two’s complementary encoding is proposed for original operands comparison in a scheme of joint adder of exponents and fractions, at the standard outputs of which floating-point numbers absolute values comparison signs are uniquely and consistently formed.","PeriodicalId":312916,"journal":{"name":"2020 IEEE 2nd International Conference on Advanced Trends in Information Theory (ATIT)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Comparison of Floating-Point Numbers Absolute Values when Representation of the Exponents with Sign-Inverse Two’s Complementary Code\",\"authors\":\"O. Samoshchenko, H. Marhiiev, O. Miroshkin\",\"doi\":\"10.1109/ATIT50783.2020.9349292\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Comparison of floating-point numbers absolute values is implemented by a joint one-step analysis of operands exponents and fractions. Rules for determination of comparison signs for floating-point numbers absolute values, when exponents and fractions are canonically represented, are formulated and mathematically confirmed. An algorithm for a modulo adder usage for initial floating-point values fractions comparison is analytically substantiated. An operation’s implementation with the usage of sign-inverse two’s complementary encoding is proposed for original operands comparison in a scheme of joint adder of exponents and fractions, at the standard outputs of which floating-point numbers absolute values comparison signs are uniquely and consistently formed.\",\"PeriodicalId\":312916,\"journal\":{\"name\":\"2020 IEEE 2nd International Conference on Advanced Trends in Information Theory (ATIT)\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE 2nd International Conference on Advanced Trends in Information Theory (ATIT)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ATIT50783.2020.9349292\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE 2nd International Conference on Advanced Trends in Information Theory (ATIT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ATIT50783.2020.9349292","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Comparison of Floating-Point Numbers Absolute Values when Representation of the Exponents with Sign-Inverse Two’s Complementary Code
Comparison of floating-point numbers absolute values is implemented by a joint one-step analysis of operands exponents and fractions. Rules for determination of comparison signs for floating-point numbers absolute values, when exponents and fractions are canonically represented, are formulated and mathematically confirmed. An algorithm for a modulo adder usage for initial floating-point values fractions comparison is analytically substantiated. An operation’s implementation with the usage of sign-inverse two’s complementary encoding is proposed for original operands comparison in a scheme of joint adder of exponents and fractions, at the standard outputs of which floating-point numbers absolute values comparison signs are uniquely and consistently formed.