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A crossover

Having exhibited the boolean operations, all the necessary material is present to construct a combinatorial circuit; by adding a unit delay, sequential circuits are also possible. Leading the signal along a zigzag is all that would be required, so there is no difficulty. To realize circuitry in a plane, however, crossovers are required.

One technique would be to multiplex a signal along a single wire, then demultiplex it with the help of a clock. Nevertheless clockless alternatives are available; one extravagant procedure is to use the identity to release b from an EXCLUSIVE OR in which a was the left member, and its counterpart to release a on the right.

 
Figure: CROSSOVER



Harold V. McIntosh
E-mail:mcintosh@servidor.unam.mx