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Efficient Realization of BCD Multipliers Using FPGAs

机译:使用FPGA的BCD乘法器有效实现

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摘要

In this paper, a novel BCD multiplier approach is proposed. The main highlight of the proposed architecture is the generation of the partial products and parallel binary operations based on 2-digit columns. 1 × 1-digit multipliers used for the partial product generation are implemented directly by 4-bit binary multipliers without any code conversion. The binary results of the 1 × 1-digit multiplications are organized according to their two-digit positions to generate the 2-digit column-based partial products. A binary-decimal compressor structure is developed and used for partial product reduction. These reduced partial products are added in optimized 6-LUT BCD adders. The parallel binary operations and the improved BCD addition result in improved performance and reduced resource usage. The proposed approach was implemented on Xilinx Virtex-5 and Virtex-6 FPGAs with emphasis on the critical path delay reduction. Pipelined BCD multipliers were implemented for 4 × 4, 8 × 8, and 16 × 16-digit multipliers. Our realizations achieve an increase in speed by up to 22% and a reduction of LUT count by up to 14% over previously reported results.
机译:本文提出了一种新颖的BCD乘法器方法。所提出的架构的主要亮点是基于2位列的部分产品和并行二进制操作的生成。用于部分产品生成的1×1位数乘法器直接由4位二进制乘法器实现,而无需任何代码转换。根据其两位位置组织1×1位数乘法的二进制结果,以产生基于2位列的部分产品。开发二进制小数压缩机结构并用于部分产品。这些减少的部分产品在优化的6-LUT BCD加入体中添加。并行二进制操作和改进的BCD添加导致提高性能和降低的资源使用情况。所提出的方法是在Xilinx Virtex-5和Virtex-6 FPGA上实施,重点是临界路径延迟减少。流水线BCD乘法器用于4×4,8×8和16×16位乘法器。我们的实现速度达到了高达22%,而且在先前报告的结果上减少了高达14%的LUT计数。

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