• DocumentCode
    1108821
  • Title

    Scaling Machine Arithmetic

  • Author

    Stein, Marvin L. ; Munro, William D.

  • Issue
    6
  • fYear
    1971
  • fDate
    6/1/1971 12:00:00 AM
  • Firstpage
    675
  • Lastpage
    678
  • Abstract
    A general approach to the problem of scaling machine arithmetic is developed. This leads to the determination of inequalities that can serve as a basis for the derivation of systematic scaling techniques. The inequalities and techniques are shown to apply to complement arithmetic with either integral or fractional machine operations and to absolute value and sign arithmetic for both types of operations. A detailed discussion is presented for the case of complement integer arithmetic. The connections with floating point arithmetic are derived.
  • Keywords
    Floating point arithmetic, scaling absolute value and sign arithmetic, scaling complement arithmetic, scaling fractional operations, scaling integral operations, scaling machine arithmetic; Analog computers; Computer errors; Design engineering; Digital arithmetic; Floating-point arithmetic; Hardware; Integral equations; Program processors; Programming profession; Floating point arithmetic, scaling absolute value and sign arithmetic, scaling complement arithmetic, scaling fractional operations, scaling integral operations, scaling machine arithmetic;
  • fLanguage
    English
  • Journal_Title
    Computers, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9340
  • Type

    jour

  • DOI
    10.1109/T-C.1971.223324
  • Filename
    1671917