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
Division Unit with Newton-Raphson Approximation and Digit-by-Digit Refinement of the Quotient / Montuschi, Paolo; Ciminiera, Luigi; Giustina, A.. - In: IEE PROCEEDINGS. COMPUTERS AND DIGITAL TECHNIQUES. - ISSN 1350-2387. - STAMPA. - 141:6(1994), pp. 317-324. [10.1049/ip-cdt:19941386]
Division Unit with Newton-Raphson Approximation and Digit-by-Digit Refinement of the Quotient
MONTUSCHI, PAOLO;CIMINIERA, Luigi;
1994
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 unitPubblicazioni consigliate
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https://hdl.handle.net/11583/1402783
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