Minimal Third-order Expressions of Boolean Unate Functions †
作者:
A. K. CHOUDHURY,
DEBABRATA SARMA,
SUNIL RANJAN DAS,
期刊:
International Journal of Control
(Taylor Available online 1967)
卷期:
Volume 6,
issue 5
页码: 447-459
ISSN:0020-7179
年代: 1967
DOI:10.1080/00207176708921818
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
A simple and straightforward procedure for finding absolute minimal third-order expressions (in the ‘ sum-of-product-of-sum’ forms) of a special class of Boolean functions called unate functions is suggested in the paper. The central idea developed through the procedure involves a decomposition of the assigned Boolean function first into a group of sub-functions called maximal uniliteral sub-functions (MTJL's) each of which is realizable in a minimal second-order ‘ product-of-sum ’ form and then a selection of an appropriate sub-set of these maximal uniliteral sub-functions or MUL's (or their sub-functions) in order to cover all the prime implicants of the function minimally.
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