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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

Chapter:
(p.139) 8 Sequential-State Digital Circuits
Source:
The Logician and the Engineer
Author(s):

Paul J. Nahin

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691176000.003.0008

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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