{"title":"一种用于设计特定应用算术电路的低功耗基数-4对偶编码整数平方实现","authors":"J. Moore, M. Thornton, D. Matula","doi":"10.1109/ACSSC.2008.5074741","DOIUrl":null,"url":null,"abstract":"We introduce an implementation of a radix 4 dual recoding procedure for the squaring operation of an n-bit number which reduces the number of bit product terms employed in the previously known squaring methods obtained by either Booth radix-4 recoded multiplication or by radix 2 squaring. Several other squaring algorithms have been developed such as [WSM99], [YW01], and [SNC01]. Employing the dual recoded radix-4 procedure for design of a squaring circuit introduces a significant reduction in power and area. Architecturally, radix-4 dual recoded squaring uses only the 1's complement representation which allows for a simpler PPG structure as compared to the 2's complement representation required for Booth radix-4 multiplication.","PeriodicalId":416114,"journal":{"name":"2008 42nd Asilomar Conference on Signals, Systems and Computers","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"A low power radix-4 dual recoded integer squaring implementation for use in design of application specific arithmetic circuits\",\"authors\":\"J. Moore, M. Thornton, D. Matula\",\"doi\":\"10.1109/ACSSC.2008.5074741\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce an implementation of a radix 4 dual recoding procedure for the squaring operation of an n-bit number which reduces the number of bit product terms employed in the previously known squaring methods obtained by either Booth radix-4 recoded multiplication or by radix 2 squaring. Several other squaring algorithms have been developed such as [WSM99], [YW01], and [SNC01]. Employing the dual recoded radix-4 procedure for design of a squaring circuit introduces a significant reduction in power and area. Architecturally, radix-4 dual recoded squaring uses only the 1's complement representation which allows for a simpler PPG structure as compared to the 2's complement representation required for Booth radix-4 multiplication.\",\"PeriodicalId\":416114,\"journal\":{\"name\":\"2008 42nd Asilomar Conference on Signals, Systems and Computers\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 42nd Asilomar Conference on Signals, Systems and Computers\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ACSSC.2008.5074741\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 42nd Asilomar Conference on Signals, Systems and Computers","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ACSSC.2008.5074741","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A low power radix-4 dual recoded integer squaring implementation for use in design of application specific arithmetic circuits
We introduce an implementation of a radix 4 dual recoding procedure for the squaring operation of an n-bit number which reduces the number of bit product terms employed in the previously known squaring methods obtained by either Booth radix-4 recoded multiplication or by radix 2 squaring. Several other squaring algorithms have been developed such as [WSM99], [YW01], and [SNC01]. Employing the dual recoded radix-4 procedure for design of a squaring circuit introduces a significant reduction in power and area. Architecturally, radix-4 dual recoded squaring uses only the 1's complement representation which allows for a simpler PPG structure as compared to the 2's complement representation required for Booth radix-4 multiplication.
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