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The Logician and the EngineerHow George Boole and Claude Shannon Created the Information Age$
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Paul J. Nahin

Print publication date: 2017

Print ISBN-13: 9780691176000

Published to Princeton Scholarship Online: May 2018

DOI: 10.23943/princeton/9780691176000.001.0001

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Sequential-State Digital Circuits

Sequential-State Digital Circuits

(p.139) 8 Sequential-State Digital Circuits
The Logician and the Engineer

Paul J. Nahin

Princeton University Press

This chapter begins by discussing two sequential state problems. The first example drives home the point that the concept of a physical system changing state with time predates Shannon and Boole by centuries. The second example uses a more modern situation that just about everyone of driving age has encountered: the automated parking garage. It then argues that the design of a sequential state digital machine is simply that of determining how to interconnect these individual latches so as to transition from state to state with the goal of accomplishing a desired task. The remainder of the chapter shows how the latch can be modified in several important ways to arrive at the practical logic element called the clocked, edge-triggered flip-flop, and concludes with the design of a specific machine.

Keywords:   sequential-state problems, NOR latch, flip-flops, digital machine design, mathematics

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