Efficient Single-Precision Floating-Point Division Using Harmonized Parabolic Synthesis

Abstract

This paper proposes a novel method for performing division on floating-point numbers represented in IEEE-754 single-precision (binary32) format. The method is based on an inverter, implemented as a combination of Parabolic Synthesis and second-degree interpolation, followed by a multiplier. It is implemented with and without pipeline stages individually and synthesized while targeting a Xilinx Ultrascale FPGA.The implementations show better resource usage and latency results when compared to other implementations based on different methods. In case of throughput, the proposed method outperforms most of the other works, however, some Altera FPGAs achieve higher clock rate due to the differences in the DSP slice multiplier design.Due to the small size, low latency and high throughput, the presented floating-point division unit is suitable for high performance embedded systems and can be integrated into accelerators or be used as a stand-alone accelerator.