• DocumentCode
    779090
  • Title

    Higher radix square root with prescaling

  • Author

    Lang, Tomás ; Montuschi, Paolo

  • Author_Institution
    Dept. d´´Arquitectura de Computadors, Univ. Politecnica de Catalunya, Barcelona, Spain
  • Volume
    41
  • Issue
    8
  • fYear
    1992
  • fDate
    8/1/1992 12:00:00 AM
  • Firstpage
    996
  • Lastpage
    1009
  • Abstract
    A scheme for performing higher radix square root based on prescaling of the radicand is presented to reduce the complexity of the result-digit selection. The scheme requires several steps, namely multiplication for prescaling the radicand, square root, multiplication for prescaling for the division, and division. Online algorithms are used to reduce the overall time and pipelining to reuse the different modules. An estimate of the execution time for a radix-256 unit for double-precision square root and a comparison with other implementations indicate that the proposed approach is an alternative to consider when designing a square-root unit
  • Keywords
    digital arithmetic; dividing circuits; multiplying circuits; number theory; complexity; division; double-precision square root; higher radix square root; multiplication; online algorithms; pipelining; prescaling; radicand; result-digit selection; Approximation methods; Digital arithmetic; Hardware; Pipeline processing;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/12.156542
  • Filename
    156542