Ones And Zeros: Understanding Boolean Algebra, Digital Circuits, And The Logic Of Sets

Description:

Mathematics Ones and Zeros Understanding Boolean Algebra, Digital Circuits, and the Logic of Sets Ones and Zeros explains, in lay terms, Boolean algebra, the suprisingly simple system of mathematical logic used in digital computer circuitry. Anecdotal in style and often funny, Ones and Zeros follows the development of this logic system from its origins in Victorian England to its rediscovery in this century as the foundation of all modern computing machinery. Readers will learn about the interesting history of the development of symbolic logic in particular, and the often misunderstood process of mathematical invention and scientific discovery, in general. Ones and Zeros also features practical exercises with answers, real-world examples of digital circuit design, and a reading list. This fascinating look at the crucial technology of the twentieth century will be enjoyed by anyone who has a general interest in science, technology, and mathematics. Ones and Zeros will be of particular interest to software engineers who want to gain a comprehensive understanding of computer hardware. Outstanding features include:

• A history of mathematical logic
• An explanation of the logic of digital circuits
• Hands-on exercises and examples

About the IEEE Press Understanding Science & Technology Series The IEEE Press Understanding Science & Technology Series treats important topics in science and technology in a simple and easy to understand manner. Designed expressly for the nonspecialist engineer, scientist, or technician, as well as the technologically curious, each volume stresses practical information over mathematical theorems and complicated derivations.

Table of Contents:

Before We Begin.

Number Systems and Counting.

The Basic Functions of Boolean Algebra: And, Or, And Not.

Combinational Logic.

The Algebra of Sets and Venn Diagrams.

Other Boolean Functions.

Realizing Any Boolean Function with And, Or, And Not.

More Digital Circuits.

Laws of Boolean Algebra.

Boolean Logic.

Appendix A: Counting in Base 2.

Appendix B: Powers of 2.

Appendix C: Summary of Boolean Functions.

Further Reading.

Answers to Exercises.

Index.

About the Author.