Revisit to Floating-Point Division Algorithm Based on Taylor-Series Expansion

Abstract

This paper investigates floating-point division algorithms based on Taylor-series expansion. Taylor-series expansions of 1/x are examined for several center points with their convergence ranges, and show the Taylor-series expansion division algorithm trade-offs among division accuracy, numbers of multiplications/additions/subtractions and LUT sizes; the designer can choose the optimal algorithm for his digital division, and build its conceptual architecture design with the contents described here.