High-speed floating-point divider with reduced area

Kyung-Nam Han; Alexandre F. Tenca; David Tran

doi:10.1117/12.827850

3 September 2009 High-speed floating-point divider with reduced area

Kyung-Nam Han, Alexandre F. Tenca, David Tran

Proceedings Volume 7444, Mathematics for Signal and Information Processing; 74440O (2009) https://doi.org/10.1117/12.827850
Event: SPIE Optical Engineering + Applications, 2009, San Diego, California, United States

Abstract

This paper presents a new implementation of a floating-point divider unit with a competitive performance and reduced area based on proposed modifications to the recursive equations of Goldschmidt algorithm. The Goldschmidt algorithm takes advantage of parallelism in the Newton-Raphson method with the same quadratic convergence. However, recursive equations in the Goldschmidt algorithm consist of a series of multiplications with full-precision operands, and it suffers from large area consumption. In this paper, the recursive equations in the algorithm are modified to replace full-precision multipliers with smaller multipliers and squarers. Implementations of floating-point reciprocal and divider using the modification are presented. Synthesis result shows around 20% to 40% area reduction when it is compared to the implementation based on the conventional Goldschmidt algorithm.

Citation Download Citation

Kyung-Nam Han, Alexandre F. Tenca, and David Tran "High-speed floating-point divider with reduced area", Proc. SPIE 7444, Mathematics for Signal and Information Processing, 74440O (3 September 2009); https://doi.org/10.1117/12.827850

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