Comparative study of single precision floating point division using different computational algorithms

Naginder Singh, Kapil Parihar
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Abstract

This paper presents different computational algorithms to implement single precision floating point division on field programmable gate arrays (FPGA). Fast division computation algorithms can apply to all division cases by which an efficient result will be obtained in terms of delay time and power consumption. 24-bit Vedic multiplication (Urdhva-Triyakbhyam-sutra) technique enhances the computational speed of the mantissa module and this module is used to design a 32-bit floating point multiplier which is the crucial feature of this proposed design, which yields a higher computational speed and reduced delay time. The proposed design of floating-point divider using fast computational algorithms synthesized using Verilog hardware description language has a 32-bit floating point multiplier module unit and a 32-bit floating point subtractor module unit. Xilinx Spartan 6 SP605 evaluation platform is used to verify this proposed design on FPGA. Synthesis results provide the device utilization and propagation delay parameters for the proposed design and a comparative study is done with previous work. Input to the divider is provided in IEEE 754 32-bit formats.
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不同计算算法的单精度浮点除法的比较研究
本文提出了在现场可编程门阵列(FPGA)上实现单精度浮点除法的不同计算算法。快速除法计算算法适用于所有的除法情况,可以在延迟时间和功耗方面获得有效的结果。24位吠陀乘法(Urdhva-Triyakbhyam-sutra)技术提高了尾数模块的计算速度,该模块用于设计32位浮点乘法器,这是本设计的关键特征,它产生更高的计算速度并减少延迟时间。采用Verilog硬件描述语言合成的快速计算算法设计的浮点除法器具有32位浮点乘法器模块和32位浮点减法器模块。利用Xilinx Spartan 6 SP605评估平台在FPGA上验证了该设计。综合结果为所提出的设计提供了器件利用率和传播延迟参数,并与前人的工作进行了比较研究。分频器的输入以IEEE 754 32位格式提供。
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