Generalized earliest-first fast addition algorithm

  • Authors:
  • Wen-Chang Yeh;Chein-Wei Jen

  • Affiliations:
  • ZyDAS Technol. Corp., Hsinchu, Taiwan;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2003

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Abstract

This paper presents a generalized earliest-first (GEF) addition algorithm to accelerate carry propagation addition (CPA). A set of operators and notations have been developed to describe and analyze traditional carry-lookahead or conditional-sum-based algorithms. The proposed GEF algorithm schedules bit-level operations of CPA in an earliest-first manner to reduce the overall latency. With the aid of the developed operators and notations, the algorithm can be generalized to any algorithm based on carry-lookahead or conditional-sum rule. An adder generated by using the GEF algorithm outperforms traditional algorithms when inputs do not arrive simultaneously.