NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS

NOVEL TECHNIQUE FOR DISJOINTED SUM OF PRODUCTS

Yavuz Can

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Abstract

A classical problem of Boolean theory is to derive a disjointed Sum of Products. This work introduces a novel approach for converting Sum of Products into disjointed Sum of Products which is based on a novel, generally valid, combining technique of 'orthogonalizing dierence-building '. Postulates and rules for this linking technique are dened which have to be considered getting correct results. The benet of the novel approach is that the result contains fewer number of product terms which has signicant advantages for further calculations as the Boolean Dierential Calculus.

Keywords

Sum of products, disjointed sum of products, minimization, disjointed exclusive- or sum of products, combinational circuit.