一个十进制的完全并行和流水线的浮点乘法器

R. Raafat, Amira M. Abdel-Majeed, R. Samy, Tarek ElDeeb, Yasmin Farouk, Mostafa Elkhouly, H. Fahmy
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引用次数: 23

摘要

十进制算术在许多商业应用中都很重要,包括金融分析、银行、税收计算、货币转换、保险和会计。提出了一种符合IEEE标准754-2008的浮点运算全并行Decimal64浮点乘法器。所提出的乘法器具有针对低延迟的新颖方法。提出的设计基于先前发布的定点乘法器,该乘法器使用新颖的BCD-4221对十进制数字进行重新编码,以改善部分乘积生成和部分乘积约简树的面积和延迟。在设计中引入了几个增强功能;最终进位传播加法器采用Kogge-Stone前缀树的全并行十进制加法器实现,粘位与移位器并行产生,以减少关键路径延迟。该设计可扩展以支持Decimal128浮点乘法。该乘法器在FPGA上的功能经过硬件验证。
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A decimal fully parallel and pipelined floating point multiplier
Decimal arithmetic is important in several commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This paper presents a fully parallel Decimal64 floating point (FP) multiplier compliant to IEEE Std 754-2008 for floating point arithmetic. The proposed multiplier possesses novel methods to target low latency. The proposed design is based on a previously published fixed point multiplier that uses a novel BCD-4221 recoding for decimal digits to improve the area and latency of the partial product generation and the partial product reduction tree. Several enhancements are introduced to the design; the final carry propagation adder is implemented using a fully parallel decimal adder with a Kogge-Stone prefix tree, the sticky bit is generated in parallel to the shifter to reduce the critical path delay. The design is extendable to support Decimal128 floating point multiplication. The multiplier is hardware verified for functionality on an FPGA.
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