Title :
Division unit with Newton-Raphson approximation and digit-by-digit refinement of the quotient
Author :
Montuschi, P. ; Ciminiera, L. ; Giustina, A.
Author_Institution :
Dipartimento di Autom. e Inf., Politecnico di Torino, Italy
fDate :
11/1/1994 12:00:00 AM
Abstract :
The advantages of the convergence with the square of the Newton-Raphson method are combined with the precision characteristics of digit-by-digit algorithms to obtain units for fast division that satisfy the IEEE 754 floating point standard requirements. A general design methodology that leads to a class of alternative architectures providing interesting performances for division is presented, together with one example of possible implementation. In particular, the proposed implementation achieves a speedup varying from 20% to about 30% in comparison with a previous architecture by Fandrianto, with a relatively small additional hardware cost if a multiplier is already available on the arithmetic unit
Keywords :
Newton-Raphson method; dividing circuits; floating point arithmetic; Newton-Raphson approximation; convergence; digit-by-digit refinement; fast division; floating point standard;
Journal_Title :
Computers and Digital Techniques, IEE Proceedings -
DOI :
10.1049/ip-cdt:19941386