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Combinational Logic: Multiplexers, Adders; Binary Arithmetic

The first edition of this book was previously published by Pearson Education, Inc. It was The second edition, version 10 is copyright ©2020 by Howard DeVoe. This work is licensed under a Creative Commons Attribution 40 International License: https://creativecommons org/licenses/by/4 0/ The book was typeset using the LATEX typesetting system and the memoir class. Most of the figures were produced with PSTricks, a related software program. The fonts are Adobe Times, MathTime, and Computer Modern Typewriter. A Solutions Manual is available at the Web site linked below. I thank the Department of Chemistry and Biochemistry, University of Maryland, College Park, Maryland for hosting the Web site for this book:

Figures (6)

Example: A single Bit 1-to-4 line demultiplexer
A 4:1 MUX circuit using 3 input AND and other gates
Signetics S54S157 quad 2:1 mux
Fairchild 74F138 1:8 demultiplexer

Key Points

  • A multiplexer is often used with a complementary demultiplexer on the receiving end.
  • Combinational logic is used in computer circuits to perform Boolean algebra on input signals and on stored data.
  • Even though it is a bit more abstract, the T-sdiagram is very useful for describing what happens inside machines because it is easy to plot and allows us to visualize directly the irreversibility, which is always undesirable for the engineer.
  • The states approached in the limit as we carry out the compression more and more slowly are equilibrium states, occurring in the reverse sequence of the states for expansion at infinite slowness.
  • The sum of Xm for these three steps is the desired quantity vapXı or subXı.

Terms

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Sources & licensing(4)