• DocumentCode
    1195748
  • 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
  • Volume
    141
  • Issue
    6
  • fYear
    1994
  • fDate
    11/1/1994 12:00:00 AM
  • Firstpage
    317
  • Lastpage
    324
  • 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;
  • fLanguage
    English
  • Journal_Title
    Computers and Digital Techniques, IEE Proceedings -
  • Publisher
    iet
  • ISSN
    1350-2387
  • Type

    jour

  • DOI
    10.1049/ip-cdt:19941386
  • Filename
    331614