• DocumentCode
    1660915
  • Title

    Reliable floating-point arithmetic algorithms for Berger encoded operands

  • Author

    Lo, Jien-Chung

  • Author_Institution
    Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
  • fYear
    1992
  • Firstpage
    110
  • Lastpage
    113
  • Abstract
    A set of reliable floating-point arithmetic algorithms for Berger encoded operands is presented. Closed-form equations are derived for floating-point addition, subtraction, multiplication and division. Given the IEEE floating-point number standard, the redundancy requirements of the proposed scheme are 39.47% for addition/subtraction, 45.65% for multiplication, and 45.44% for division of single precision numbers. The scheme uses only 16.14% for addition/subtraction, 36.44% for multiplication and 36.02% for division of double-precision numbers
  • Keywords
    digital arithmetic; Berger encoded operands; IEEE floating-point number standard; addition; closed form equations; division; double-precision numbers; multiplication; redundancy requirements; reliable floating point arithmetic algorithms; subtraction; Circuit faults; Digital circuits; Equations; Floating-point arithmetic; Roundoff errors; Very large scale integration;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computer Design: VLSI in Computers and Processors, 1992. ICCD '92. Proceedings, IEEE 1992 International Conference on
  • Conference_Location
    Cambridge, MA
  • Print_ISBN
    0-8186-3110-4
  • Type

    conf

  • DOI
    10.1109/ICCD.1992.276196
  • Filename
    276196