C. Tsen, S. González-Navarro, M. Schulte, Brian J. Hickmann, Katherine Compton
{"title":"一个组合的十进制和二进制浮点乘法器","authors":"C. Tsen, S. González-Navarro, M. Schulte, Brian J. Hickmann, Katherine Compton","doi":"10.1109/ASAP.2009.28","DOIUrl":null,"url":null,"abstract":"In this paper, we describe the first hardware design of a combined binary and decimal floating-point multiplier, based on specifications in the IEEE 754-2008 Floating-point Standard. The multiplier design operates on either (1) 64-bit binary encoded decimal floating-point (DFP) numbers or (2) 64-bit binary floating-point (BFP) numbers. It returns properly rounded results for the rounding modes specified in IEEE 754-2008. The design shares the following hardware resources between the two floating-point datatypes: a 54-bit by 54-bit binary multiplier, portions of the operand encoding/decoding, a 54-bit right shifter, exponent calculation logic, and rounding logic. Our synthesis results show that hardware sharing is feasible and has a reasonable impact on area, latency, and delay. The combined BFP and DFP multiplier occupies only 58% of the total area that would be required by separate BFP and DFP units. Furthermore, the critical path delay of a combined multiplier has a negligible increase over a standalone DFP multiplier, without increasing the number of cycles to perform either BFP or DFP multiplication.","PeriodicalId":202421,"journal":{"name":"2009 20th IEEE International Conference on Application-specific Systems, Architectures and Processors","volume":"372 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":"{\"title\":\"A Combined Decimal and Binary Floating-Point Multiplier\",\"authors\":\"C. Tsen, S. González-Navarro, M. Schulte, Brian J. Hickmann, Katherine Compton\",\"doi\":\"10.1109/ASAP.2009.28\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we describe the first hardware design of a combined binary and decimal floating-point multiplier, based on specifications in the IEEE 754-2008 Floating-point Standard. The multiplier design operates on either (1) 64-bit binary encoded decimal floating-point (DFP) numbers or (2) 64-bit binary floating-point (BFP) numbers. It returns properly rounded results for the rounding modes specified in IEEE 754-2008. The design shares the following hardware resources between the two floating-point datatypes: a 54-bit by 54-bit binary multiplier, portions of the operand encoding/decoding, a 54-bit right shifter, exponent calculation logic, and rounding logic. Our synthesis results show that hardware sharing is feasible and has a reasonable impact on area, latency, and delay. The combined BFP and DFP multiplier occupies only 58% of the total area that would be required by separate BFP and DFP units. Furthermore, the critical path delay of a combined multiplier has a negligible increase over a standalone DFP multiplier, without increasing the number of cycles to perform either BFP or DFP multiplication.\",\"PeriodicalId\":202421,\"journal\":{\"name\":\"2009 20th IEEE International Conference on Application-specific Systems, Architectures and Processors\",\"volume\":\"372 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-07-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"30\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 20th IEEE International Conference on Application-specific Systems, Architectures and Processors\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ASAP.2009.28\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 20th IEEE International Conference on Application-specific Systems, Architectures and Processors","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ASAP.2009.28","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Combined Decimal and Binary Floating-Point Multiplier
In this paper, we describe the first hardware design of a combined binary and decimal floating-point multiplier, based on specifications in the IEEE 754-2008 Floating-point Standard. The multiplier design operates on either (1) 64-bit binary encoded decimal floating-point (DFP) numbers or (2) 64-bit binary floating-point (BFP) numbers. It returns properly rounded results for the rounding modes specified in IEEE 754-2008. The design shares the following hardware resources between the two floating-point datatypes: a 54-bit by 54-bit binary multiplier, portions of the operand encoding/decoding, a 54-bit right shifter, exponent calculation logic, and rounding logic. Our synthesis results show that hardware sharing is feasible and has a reasonable impact on area, latency, and delay. The combined BFP and DFP multiplier occupies only 58% of the total area that would be required by separate BFP and DFP units. Furthermore, the critical path delay of a combined multiplier has a negligible increase over a standalone DFP multiplier, without increasing the number of cycles to perform either BFP or DFP multiplication.