The Negative Two's Complement Number System

  • Authors:
  • Earl E. Swartzlander, Jr.

  • Affiliations:
  • Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, USA 78712

  • Venue:
  • Journal of VLSI Signal Processing Systems
  • Year:
  • 2007

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Abstract

The two's complement fractional fixed-point number system is widely used to implement digital signal processing on VLSI chips. It has a range of values from 驴1 to one least significant bit below +1. Either the multiplication of 驴1 驴 驴1 or taking the absolute value of 驴1 produces a result (+1) that cannot be represented. A new system, the negative two's complement number system, is described here that has a range of one least significant bit above 驴1 to +1 which eliminates the problem. This paper presents the new number system and describes algorithms for the basic arithmetic operations.