The choice of base

  • Authors:
  • W. S. Brown;P. L. Richman

  • Affiliations:
  • Bell Telephone Labs, Inc., Murray Hill, NJ;Bell Telephone Labs, Inc., Murray Hill, NJ

  • Venue:
  • Communications of the ACM
  • Year:
  • 1969

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Abstract

A digital computer is considered, whose memory words are composed of N r-state devices plus two sign bits (two state devices). The choice of base &bgr; for the internal representation of floating-point numbers on such a computer is discussed. It is shown that in a certain sense &bgr; = r is best.