Adder and Comparator Synthesis with Exclusive-OR Transform of Inputs

  • Authors:
  • J. Jacob;P. S. Sivakumar;V. D. Agrawal

  • Affiliations:
  • -;-;-

  • Venue:
  • VLSID '97 Proceedings of the Tenth International Conference on VLSI Design: VLSI in Multimedia Applications
  • Year:
  • 1997

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Abstract

An exclusive-OR transform of input variables significantly reduces the size of the PLA implementation for adder and comparator circuits. For n bit adder circuits, the size of PLA for transformed functions is O(n/sup 2/). In comparison, when the complete truth-table of an adder is minimized, the PLA size will be O(2/sup n+2/). Similarly, for an n bit comparator, the size of the PLA is reduced from O(2/sup n+1/) to O(n). These implementations require additional transform logic of complexity O(n), consisting of exclusive-OR gates.