Presentation 1995/10/20
An Optimization of AND-OR-EXOR Three-Level Expressions by Table Look-Up
DEBNATH Debatosh, Tsutomu SASAO,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) This paper presents a design method for AND-OR-EXOR three-level networks, where a single two-input EXOR gate is used. The network realizes an Exclusive-OR of two sum-of-products expressions (EX-SOP). The problem is to minimize the total number of product terms. Algorithms for minimization of EX-SOPs with up to five variables are shown. A heuristic algorithm is also presented to simplify EX-SOPs with six or more variables. Up to five variables, all the representative functions of NP-equivalence Classes were minimized. For five-variable functions, the upper bound on the number of products in minimum EX-SOPs is found to be 9. For n-variable (n ≥ 6) functions, minimum EX-SOPs require at most 9.2^ products. This upper bound is smaller than 2^, the upper bound for the conventional sum-of-products expressions.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Three-level network / AND-EXOR / logic minimization / spectral method / complexity / NP-equivalence class.
Paper # VLD95-90,FTS95-52
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Committee VLD
Conference Date 1995/10/20(1days)
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Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Optimization of AND-OR-EXOR Three-Level Expressions by Table Look-Up
Sub Title (in English)
Keyword(1) Three-level network
Keyword(2) AND-EXOR
Keyword(3) logic minimization
Keyword(4) spectral method
Keyword(5) complexity
Keyword(6) NP-equivalence class.
1st Author's Name DEBNATH Debatosh
1st Author's Affiliation Department of Computer Science and Electronics Kyushu Institute of Technology()
2nd Author's Name Tsutomu SASAO
2nd Author's Affiliation Department of Computer Science and Electronics Kyushu Institute of Technology
Date 1995/10/20
Paper # VLD95-90,FTS95-52
Volume (vol) vol.95
Number (no) 307
Page pp.pp.-
#Pages 8
Date of Issue