A decimal floating-point accurate scalar product unit with a parallel fixed-point multiplier on a Virtex-5 FPGA

Abstract

Decimal Floating Point operations are important for applications that cannot tolerate errors from conversionsbetween binary and decimal formats, for instance, commercial, financial, and insurance applications. In this paper, wepresent a parallel decimal fixed-point multiplier designed to exploit the features of Virtex-5 FPGAs. Our multiplier is basedon BCD recoding schemes, fast partial product generation, and a BCD-4221 carry save adder reduction tree. Pipelinestages can be added to target low latency. Furthermore, we extend the multiplier with an accurate scalar product unitfor 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 unitand migrate to Virtex-5 FPGAs. This decreases the fixed-point multiplier's latency by a factor of two and the accuratescalar product unit's latency even by a factor of five.

Decimal Floating Point operations are important for applications that cannot tolerate errors from conversionsbetween binary and decimal formats, for instance, commercial, financial, and insurance applications. In this paper, wepresent a parallel decimal fixed-point multiplier designed to exploit the features of Virtex-5 FPGAs. Our multiplier is basedon BCD recoding schemes, fast partial product generation, and a BCD-4221 carry save adder reduction tree. Pipelinestages can be added to target low latency. Furthermore, we extend the multiplier with an accurate scalar product unitfor 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 unitand migrate to Virtex-5 FPGAs. This decreases the fixed-point multiplier's latency by a factor of two and the accuratescalar product unit's latency even by a factor of five.