Design and Synthesis of Single Precision Floating Point Division based on Newton-Raphson Algorithm on FPGA

¹ School of VLSI Design and Embedded System, National Institute of Technology, Kurukshetra, Haryana, India
² Department of Electronics and Communication Engineering, National Institute of Technology, Kurukshetra. Haryana, India

^a Naginder Singh: naginder.singh0110@gmail.com

Abstract

This paper describes a single precision floating point division based on Newton-Raphson computational division algorithm. The Newton-Raphson computational algorithm is implemented using 32-bit floating point multi-plier and subtractor. The salient feature of this proposed design is that the module for computing mantissa in 32-floating point multiplier is designed using a 24-bit Vedic multiplication (Urdhva-triyakbhyam-sutra) technique. 32-bit floating point multiplier, designed using Vedic multiplication technique, yields a higher computational speed, hence, is efficiently used in floating point divider. Another important feature is the efficient use of device utilization parame-ters and reduced power consumption. An advantage of the Newton-Raphson algorithm is the higher versatility and precision. For representing 32-bit floating point numbers, IEEE 754 standard format is used. ISim simulator is used for simulation. The proposed floating point divider is designed using Verilog Hardware Description Language (HDL) and is verified on Xilinx Spartan 6 SP605 Evaluation Platform FPGA.