Title :
FPGA Implementation of a Decimal Floating-Point Accurate Scalar Product Unit with a Parallel Fixed-Point Multiplier
Author :
Baesler, Malte ; Teufel, Thomas
Author_Institution :
Inst. for Reliable Comput., Hamburg Univ. of Technol., Hamburg, Germany
Abstract :
Decimal floating point (DFP) operations are very important for applications, that cannot tolerate errors from conversions between binary and decimal formats, for instance scientific, commercial, financial and internet-based applications. In this paper we present a parallel decimal fixed-point multiplier, designed to exploit the features of FPGAs. Our multiplier is based on BCD recoding schemes, fast partial product generation and a BCD-4221 carry save adder reduction tree. Furthermore, we extend the multiplier with an accurate scalar product unit in order to provide an important operation with smallest possible rounding error as proposed in. Finally the design is implemented and tested on a Xilinx Virtex-II Pro FPGA platform.
Keywords :
adders; field programmable gate arrays; fixed point arithmetic; parallel processing; trees (mathematics); BCD recoding; BCD-4221 carry save adder reduction tree; FPGA implementation; Xilinx Virtex-II Pro FPGA platform; decimal floating-point accurate scalar product unit; fast partial product generation; parallel decimal fixed-point multiplier; parallel fixed-point multiplier; scalar product; Application specific processors; CMOS logic circuits; Concurrent computing; Field programmable gate arrays; Floating-point arithmetic; Hardware; Internet; Prototypes; Roundoff errors; Testing; FPGA; IEEE 754-2008; accurate scalar product; decimal multiplier; floating point;
Conference_Titel :
Reconfigurable Computing and FPGAs, 2009. ReConFig '09. International Conference on
Conference_Location :
Quintana Roo
Print_ISBN :
978-1-4244-5293-4
Electronic_ISBN :
978-0-7695-3917-1
DOI :
10.1109/ReConFig.2009.17