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Optimal output assignment and the maximum number of implicants needed to cover the multiple-valued logic functions

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3 Author(s)
Y. Hata ; Fac. of Eng., Himeji Inst. of Technol., Japan ; F. Miyawaki ; K. Yamato

Optimal output assignment is proposed to reduce the number of implicants in a minimal sum-of-products expression, where sum refers to TSUM. Some bounds on the maximum number of implicants needed to cover an output permuted function are clarified. One-variable output permuted functions require at most p-1 implicants in their minimal sum-of-products expressions, where p is the radix. Two-variable functions with radix between three and six are analyzed. Some speculations on the minimum number of the implicants are confirmed for functions with a higher radix and more than two variables. Computer simulation shows that output-permuted functions require 15% fewer implicants on the average

Published in:

Multiple-Valued Logic, 1992. Proceedings., Twenty-Second International Symposium on

Date of Conference:

27-29 May 1992