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This 3rd edition emphasizes applications by introducing three new chapters which guide readers meticulously through the design of feedback latches, the design of latches by composition, and an instructive, higher-order asynchronous circuit problem. This book serves as a wakeup call in the stagnant and dormant field of switching algebra and logic circuit design. It presents the material in a concise but thorough way. The topics presented are an in-depth presentation of switching algebra, a theory of elementary memory circuits (emphasizing fail-safe designs), compositional design of (combinational and memory) circuits, a new tree-approach to specifying and evaluating asynchronous sequential circuits, and finally an excursion into the field of industrial automation by presenting a unique programming technique (or language) for programmable logic controllers (PLCs). Be ready for the unorthodox and controversial.