Logic minimization using exclusive OR gates

  • Authors:
  • Valentina Ciriani

  • Affiliations:
  • Dipartimento di Informatica, Corso Italia, 40 Pisa, Italy

  • Venue:
  • Proceedings of the 38th annual Design Automation Conference
  • Year:
  • 2001

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Abstract

Recently introduced pseudoproducts and Sum of Pseudoproduct (SPP) forms have made possible to represent Boolean functions with much shorter expressions than standard Sum of Products (SP) forms LP99. A pseudo product is a product (AND) of Exclusive OR (EXOR) factors, and an SPP form is a sum (OR) of pseudoproducts. The synthesis of SPP minimal forms requires greater effort than SP minimization. In this paper we present a new data structure for this problem, leading to an efficient minimization method for SPP forms implemented with an exact algorithm and an heuristic. Experimental results on a classical set of benchmarks show that the new algorithms are fast, and can be applied to “complex” functions with a reasonable running time.