{"title":"在线乘数/除法器，用于处理大数","authors":"A. Guyot, Yvan Herreros, J. Muller","doi":"10.1109/ARITH.1989.72815","DOIUrl":null,"url":null,"abstract":"The authors deal with the detailed VLSI implementation of a fast bit-serial operator designed to perform very high precision (600 decimal digits) additions, multiplications, and divisions, and some of the applications of the circuit are discussed. Online arithmetic needs carry-free redundant number systems. Frequently, the radix chosen is different from 2, since a carry-free addition algorithm can be used in radix r not=2. In radix 2, carry-free addition is possible, but with two inconveniences: the algorithm seems more complicated, and the delay is larger. The authors show that the first inconvenience vanishes if good binary representation of the digits in radix-2 signed digit notation is chosen.<<ETX>>","PeriodicalId":305909,"journal":{"name":"Proceedings of 9th Symposium on Computer Arithmetic","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1989-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"64","resultStr":"{\"title\":\"JANUS, an on-line multiplier/divider for manipulating large numbers\",\"authors\":\"A. Guyot, Yvan Herreros, J. Muller\",\"doi\":\"10.1109/ARITH.1989.72815\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors deal with the detailed VLSI implementation of a fast bit-serial operator designed to perform very high precision (600 decimal digits) additions, multiplications, and divisions, and some of the applications of the circuit are discussed. Online arithmetic needs carry-free redundant number systems. Frequently, the radix chosen is different from 2, since a carry-free addition algorithm can be used in radix r not=2. In radix 2, carry-free addition is possible, but with two inconveniences: the algorithm seems more complicated, and the delay is larger. The authors show that the first inconvenience vanishes if good binary representation of the digits in radix-2 signed digit notation is chosen.<<ETX>>\",\"PeriodicalId\":305909,\"journal\":{\"name\":\"Proceedings of 9th Symposium on Computer Arithmetic\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"64\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 9th Symposium on Computer Arithmetic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1989.72815\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 9th Symposium on Computer Arithmetic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1989.72815","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
JANUS, an on-line multiplier/divider for manipulating large numbers
The authors deal with the detailed VLSI implementation of a fast bit-serial operator designed to perform very high precision (600 decimal digits) additions, multiplications, and divisions, and some of the applications of the circuit are discussed. Online arithmetic needs carry-free redundant number systems. Frequently, the radix chosen is different from 2, since a carry-free addition algorithm can be used in radix r not=2. In radix 2, carry-free addition is possible, but with two inconveniences: the algorithm seems more complicated, and the delay is larger. The authors show that the first inconvenience vanishes if good binary representation of the digits in radix-2 signed digit notation is chosen.<>
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