R. Raafat, Amira M. Abdel-Majeed, R. Samy, Tarek ElDeeb, Yasmin Farouk, Mostafa Elkhouly, H. Fahmy
{"title":"一个十进制的完全并行和流水线的浮点乘法器","authors":"R. Raafat, Amira M. Abdel-Majeed, R. Samy, Tarek ElDeeb, Yasmin Farouk, Mostafa Elkhouly, H. Fahmy","doi":"10.1109/ACSSC.2008.5074737","DOIUrl":null,"url":null,"abstract":"Decimal arithmetic is important in several commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This paper presents a fully parallel Decimal64 floating point (FP) multiplier compliant to IEEE Std 754-2008 for floating point arithmetic. The proposed multiplier possesses novel methods to target low latency. The proposed design is based on a previously published fixed point multiplier that uses a novel BCD-4221 recoding for decimal digits to improve the area and latency of the partial product generation and the partial product reduction tree. Several enhancements are introduced to the design; the final carry propagation adder is implemented using a fully parallel decimal adder with a Kogge-Stone prefix tree, the sticky bit is generated in parallel to the shifter to reduce the critical path delay. The design is extendable to support Decimal128 floating point multiplication. The multiplier is hardware verified for functionality on an FPGA.","PeriodicalId":416114,"journal":{"name":"2008 42nd Asilomar Conference on Signals, Systems and Computers","volume":"65 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","resultStr":"{\"title\":\"A decimal fully parallel and pipelined floating point multiplier\",\"authors\":\"R. Raafat, Amira M. Abdel-Majeed, R. Samy, Tarek ElDeeb, Yasmin Farouk, Mostafa Elkhouly, H. Fahmy\",\"doi\":\"10.1109/ACSSC.2008.5074737\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Decimal arithmetic is important in several commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This paper presents a fully parallel Decimal64 floating point (FP) multiplier compliant to IEEE Std 754-2008 for floating point arithmetic. The proposed multiplier possesses novel methods to target low latency. The proposed design is based on a previously published fixed point multiplier that uses a novel BCD-4221 recoding for decimal digits to improve the area and latency of the partial product generation and the partial product reduction tree. Several enhancements are introduced to the design; the final carry propagation adder is implemented using a fully parallel decimal adder with a Kogge-Stone prefix tree, the sticky bit is generated in parallel to the shifter to reduce the critical path delay. The design is extendable to support Decimal128 floating point multiplication. The multiplier is hardware verified for functionality on an FPGA.\",\"PeriodicalId\":416114,\"journal\":{\"name\":\"2008 42nd Asilomar Conference on Signals, Systems and Computers\",\"volume\":\"65 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"23\",\"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.2008.5074737\",\"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.2008.5074737","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A decimal fully parallel and pipelined floating point multiplier
Decimal arithmetic is important in several commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This paper presents a fully parallel Decimal64 floating point (FP) multiplier compliant to IEEE Std 754-2008 for floating point arithmetic. The proposed multiplier possesses novel methods to target low latency. The proposed design is based on a previously published fixed point multiplier that uses a novel BCD-4221 recoding for decimal digits to improve the area and latency of the partial product generation and the partial product reduction tree. Several enhancements are introduced to the design; the final carry propagation adder is implemented using a fully parallel decimal adder with a Kogge-Stone prefix tree, the sticky bit is generated in parallel to the shifter to reduce the critical path delay. The design is extendable to support Decimal128 floating point multiplication. The multiplier is hardware verified for functionality on an FPGA.