Abstract
This chapter is a self-contained development of abstract harmonic analysis applied to a single-output combinational logic functions; linear algebra and elementary group theory are the only mathematical prerequisites. New analysis and synthesis techniques are developed, and the groundwork is laid for future extensions to multiple output combinational logic, sequential machines, and real- or complex-valued functions of binary arguments. Harmonic analysis adds novel conceptual insights and unifying principles, improved computational techniques, and new measures of complexity to the traditional approach to switching theory.
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