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Cascade Realization of 3-Input 3-Output Conservative Logic Circuits

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2 Author(s)
Sasao, T. ; Department of Electronic Engineering, Osaka University ; Kinoshita, K.

A conservative logic element (CLE) is a multiple-output logic element whose weight of an input vector is equal to that of the corresponding output vector, and is a generalized model of magnetic bubble logic elements, fluid logic elements, and so on. This paper considers the problem of realizing arbitrary 3-input 3-output conservative logic elements (3-3 CLC's) by cascade connections of 3-input 3-output CLE's called "primitives." It is shown that the necessary and sufficient number of different primitives to realize an arbitrary 3-3 CLC is three in the case when the crossovers of lines are permitted, and four in the case when the crossovers of lines are not permitted.

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Computers, IEEE Transactions on  (Volume:C-27 ,  Issue: 3 )