• DocumentCode
    1484743
  • Title

    Power Efficient Division and Square Root Unit

  • Author

    Liu, Wei ; Nannarelli, Alberto

  • Author_Institution
    Oticon, Smorum, Denmark
  • Volume
    61
  • Issue
    8
  • fYear
    2012
  • Firstpage
    1059
  • Lastpage
    1070
  • Abstract
    Although division and square root are not frequent operations, most processors implement them in hardware to not compromise the overall performance. Two classes of algorithms implement division or square root: digit-recurrence and multiplicative (e.g., Newton-Raphson) algorithms. Previous work shows that division and square root units based on the digit-recurrence algorithm offer the best tradeoff delay-area-power. Moreover, the two operations can be combined in a single unit. Here, we present a radix-16 combined division and square root unit obtained by overlapping two radix-4 stages. The proposed unit is compared to similar solutions based on the digit-recurrence algorithm and it is compared to a unit based on the multiplicative Newton-Raphson algorithm.
  • Keywords
    Newton-Raphson method; floating point arithmetic; power aware computing; digit recurrence algorithm; division; multiplicative Newton-Raphson algorithm; power efficiency; square root unit; Adders; Convergence; Hardware; Multiplexing; Program processors; Redundancy; Registers; Floating point; digit-recurrence.; division; square root;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/TC.2012.82
  • Filename
    6178240