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 754-2008decimal64data 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.
Decimal floating point operations are important for applications that cannot tolerate errors from conversions between binary and decimal formats, for instance, scientific, commercial, and financial applications. In this work we present a radix-10 digit recurrence division algorithm that decomposes the quotient digits into three parts and requires only the computation of five and two times the divisor. Moreover, the divisor's multiples are selected without multiplexers and the digit selection functions are independent of the divisor's value and do not require a lookup table. The algorithm has been synthesized and verified on a Xilinx Virtex-5 FPGA and implementation results are given.
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