A numerical-graphical method for synthesizing switching circuits

ALTHOUGH methods for synthesizing switching circuits have been developed, the search for easily applied techniques is still receiving considerable attention. Recently, for example, a great deal of work has been done on the development of matrix methods,1 which lead to efficient nonseries-parallel circuit arrangements. Matrix methods, however, are still in the formative stage and have not as yet proved to be practical circuit-design tools. The direct application of Boolean algebra,2 on the other hand, yields circuits of the series-parallel type, which generally are not very efficient. In addition, a designer has a large number of alternative procedures available to him in the application of Boolean algebra, and can not usually ascertain beforehand the procedure which will result in the best circuit arrangement.