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The Computer Journal 1968 11(3):269-276; doi:10.1093/comjnl/11.3.269
© 1968 by British Computer Society
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The use of Roth's decomposition algorithm in multi-level design of circuits

D. F. Barnard and D. F. Holman *

Mechanical Engineering Laboratory, The English Electric Company Limited, Whetstone, Nr. Leicester, UK

The paper describes a procedure for synthesising multi-level combinatorial switching circuits. This procedure is based on an algorithm of Roth and Karp to find the possible decompositions of a partial switching function. The procedure builds up a circuit using a specified set of gates of vertex type. By repeated application of the algorithm, a complete realisation of the function is obtained whose cost is defined to be the sum of the costs of the basic elements. This cost can then be used as a cost bound in a systematic search for a realisation of minimum cost.


First received January 1968. revised form May 1968.

* Mechanical Engineering Laboratory, The English Electric Company Limited, Whetstone, Nr. Leicester.


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