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Logic Functions and Equations

Examples and Exercises

  • Book
  • © 2009

Overview

Authors:
  1. Bernd Steinbach
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    You can also search for this author in PubMed   Google Scholar

  2. Christian Posthoff
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  • The first book in the area of binary systems that is fully based only on Logic Equations as the theoretical concept.
  • Ternary vectors are the only data structure required for the implementation of the algorithms.
  • The software package XBOOLE Monitor is an integral part of the training and solution process.
  • Many problems where no solutions can be found by hand can be approached in a constructive way.
  • The full applicability of the Boolean Differential Calculus.
  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Basic Software

    1. Front Matter

      Pages 1-1
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    2. XBOOLE Monitor

      • Bernd Steinbach, Christian Posthoff
      Pages 3-21

    3. Basics and Logic Functions

      • Bernd Steinbach, Christian Posthoff
      Pages 23-59

    4. Logic Equations

      • Bernd Steinbach, Christian Posthoff
      Pages 61-73

    5. Boolean Differential Calculus

      • Bernd Steinbach, Christian Posthoff
      Pages 75-103

    6. The Solution of Logic Equations

      • Bernd Steinbach, Christian Posthoff
      Pages 105-108

  3. Applications

    1. Front Matter

      Pages 109-109
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    2. Logics and Arithmetics

      • Bernd Steinbach, Christian Posthoff
      Pages 111-134

    3. Combinatorial Circuits

      • Bernd Steinbach, Christian Posthoff
      Pages 135-194

    4. Finite-State Machines

      • Bernd Steinbach, Christian Posthoff
      Pages 195-226

  4. Back Matter

    Pages 227-231
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About this book

Tsutomu Sasao – Kyushu Institute of Technology, Japan The material covered in this book is quite unique especially for p- ple who are reading English, since such material is quite hard to ?nd in the U.S. literature. German and Russian people have independently developed their theories, but such work is not well known in the U.S. societies. On the other hand, the theories developed in the U.S. are not conveyed to the other places. Thus, the same theory is re-invented or re-discovered in various places. For example, the switching theory was developed independently in the U.S., Europe, and Japan, almost at the same time [4, 18, 19]. Thus, the same notions are represented by di?- ent terminologies. For example, the Shegalkin polynomial is often called complement-free ring-sum, Reed-Muller expression [10], or Positive - larityReed-Mullerexpression [19].Anyway,itisquitedesirablethatsuch a unique book like this is written in English, and many people can read it without any di?culties. The authors have developed a logic system called XBOOLE.Itp- forms logical operations on the given functions. With XBOOLE, the readers can solve the problems given in the book. Many examples and complete solutions to the problems are shown, so the readers can study at home. I believe that the book containing many exercises and their solutions [9] is quite useful not only for the students, but also the p- fessors.

Reviews

From the reviews:

"The authors have developed a logic system called XBOOLE which performs logical operations on the given functions, helping the readers to solve the problems given in the book. Many examples and complete solutions to the problems are shown, so the readers can study at home. … This book, allowing to learn from examples is very useful not only for the students, but also the professors." (Ioan Tomescu, Zentralblatt MATH, Vol. 1166, 2009)

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