A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGA

Decimal Floating Point operations are important for applications that cannot tolerate errors from conversions between binary and decimal formats, for instance, commercial, financial, and insurance applications. In this paper, we present a parallel decimal fixed-point multiplier designed to exploit t...

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Main Authors: Malte Baesler, Sven-Ole Voigt, Thomas Teufel
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Reconfigurable Computing
Online Access:http://dx.doi.org/10.1155/2010/357839
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author Malte Baesler
Sven-Ole Voigt
Thomas Teufel
author_facet Malte Baesler
Sven-Ole Voigt
Thomas Teufel
author_sort Malte Baesler
collection DOAJ
description Decimal Floating Point operations are important for applications that cannot tolerate errors from conversions between binary and decimal formats, for instance, commercial, financial, and insurance applications. In this paper, we present a parallel decimal fixed-point multiplier designed to exploit the features of Virtex-5 FPGAs. Our multiplier is based on BCD recoding schemes, fast partial product generation, and a BCD-4221 carry save adder reduction tree. Pipeline stages can be added to target low latency. Furthermore, we extend the multiplier with an accurate scalar product unit for IEEE 754-2008 decimal64 data format in order to provide an important operation with least possible rounding error. Compared to a previously published work, in this paper, we improve the architecture of the accurate scalar product unit and migrate to Virtex-5 FPGAs. This decreases the fixed-point multiplier's latency by a factor of two and the accurate scalar product unit's latency even by a factor of five.
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spelling doaj-art-fb4cbcd7a1084093869ec87567d251742025-02-03T06:13:27ZengWileyInternational Journal of Reconfigurable Computing1687-71951687-72092010-01-01201010.1155/2010/357839357839A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGAMalte Baesler0Sven-Ole Voigt1Thomas Teufel2Institute for Reliable Computing, Hamburg University of Technology, Schwarzenbergstraβe 95, 21073 Hamburg, GermanyInstitute for Reliable Computing, Hamburg University of Technology, Schwarzenbergstraβe 95, 21073 Hamburg, GermanyInstitute for Reliable Computing, Hamburg University of Technology, Schwarzenbergstraβe 95, 21073 Hamburg, GermanyDecimal Floating Point operations are important for applications that cannot tolerate errors from conversions between binary and decimal formats, for instance, commercial, financial, and insurance applications. In this paper, we present a parallel decimal fixed-point multiplier designed to exploit the features of Virtex-5 FPGAs. Our multiplier is based on BCD recoding schemes, fast partial product generation, and a BCD-4221 carry save adder reduction tree. Pipeline stages can be added to target low latency. Furthermore, we extend the multiplier with an accurate scalar product unit for IEEE 754-2008 decimal64 data format in order to provide an important operation with least possible rounding error. Compared to a previously published work, in this paper, we improve the architecture of the accurate scalar product unit and migrate to Virtex-5 FPGAs. This decreases the fixed-point multiplier's latency by a factor of two and the accurate scalar product unit's latency even by a factor of five.http://dx.doi.org/10.1155/2010/357839
spellingShingle Malte Baesler
Sven-Ole Voigt
Thomas Teufel
A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGA
International Journal of Reconfigurable Computing
title A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGA
title_full A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGA
title_fullStr A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGA
title_full_unstemmed A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGA
title_short A Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier on a Virtex-5 FPGA
title_sort decimal floating point accurate scalar product unit with a parallel fixed point multiplier on a virtex 5 fpga
url http://dx.doi.org/10.1155/2010/357839
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