1 + 1 = 1 An Introduction to Boolean Algebra and Switching Circuits
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About this ebook
1 + 1 = 1 An Introduction to Boolean Algebra and Switching Circuits was originally published by Williamsville Publishing Company as part of their popular Tape ‘n Text Computer Math Series. It has been expanded and republished as Volume 4 in this new series. The paperback and e-book editions are intended for classroom teachers, students and as a reference for libraries.
In elementary algebra 1 + 1 equals 2. In Boolean algebra 1 + 1 equals 1. Boolean algebra is not isomorphic (similar) to elementary algebra. However, Boolean algebra is isomorphic to logic. Knowledge of Boolean algebra and logic are needed in our modern world in order to explain how computers are designed and operate at the most basic levels.
The three main operators in Boolean algebra and switching circuits are directly related to logic. For example, in logic the Boolean algebra plus sign “+” means "OR" (disjunction) and the times sign “. " means “AND" ( conjunction ) and the prime mark or tilde “~" means “NOT" (negation in logic). Logic symbols will be used mainly in volume 3, “Introduction to Logic."
In all four volumes of the “Computer Mathematics Series” new information is presented in short sections with immediate testing. This form of personalized instruction is often used in on-line Internet based courses for distance learning. A small amount of information is presented in each section before advancing to the next section. Exercises are listed after several sections followed by an answer key.
The author of the series, William R. Parks, B.S., M.S., Ed.M., was curriculum designer for computer science degree programs at three colleges in the SUNY system and was instructor of mathematics and computer courses at three high schools, three community colleges and four four-year colleges. He taught at SUNY colleges in Fredonia & Buffalo, NY, Niagara County Community College, NY, Cecil Community College, MD, Elon University, NC, Walters State Community College, TN, D'Youville College, NY and Mesa Community College, AZ. He was technical editor for "Personal Computing" and "PC AI" magazines.
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Book preview
1 + 1 = 1 An Introduction to Boolean Algebra and Switching Circuits - William Parks
1+ 1 = 1 An Introduction to
Boolean Algebra and
Switching Circuits
Copyright 2014 by William Parks
Smashwords Edition
ALSO BY WILLIAM R. PARKS
Beginning Algebra
Sets and Numbers
Algebraic Expressions
Linear Equations and Graphs
Properties of the Real Number System
Computer Mathematics
Sets and Flowcharts
Computer Number Bases
Introduction to Logic
1 + 1 = 1 An Introduction to Boolean Algebra and Switching Circuits
Statistics
Introduction to Statistics
Introduction to Gambling Theory
Computer Mathematics
1 + 1 = 1
An Introduction to
Boolean Algebra and
Switching Circuits
William R. Parks, B.S., M.S., Ed.M.
Copyright © 2014 William R. Parks
www.wrparks.com
Hershey,PA 17033
ISBN: 978-0-88493-009-9
Librabry of Congress Control Number: 2014934440
Cover: The four basic operations of arithmetic are displayed on the cover: Integer arithmetic and Boolean logic operations are performed in the arithmetic logic unit (ALU) of a computer.
George Boole (1815-1864)
Boolean algebra is named after George Boole (1815-1864), a mathematician and philosopher, who wrote the book, The Laws of Thought, which is the basis for Boolean algebra and logic used to design modern day computers.
INTRODUCTION
Boolean algebra is named after George Boole (1815-1864), a mathematician