In Boolean algebra: 1 + 1 = 1 and x + x = x. In elementary algebra: 1 + 1 = 2 and x + x = 2x. This book gives easy to understand explanations of major differences in symbol manipulation between the two algebras.
"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 the series. The paperback is intended for classroom teachers, students and as a reference for libraries. Material in the "Computer Math Series" was submitted for review in "The Mathematics Teacher" and received praise - "The development is well done."
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.
"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 the series. The paperback is intended for classroom teachers, students and as a reference for libraries. Material in the "Computer Math Series" was submitted for review in "The Mathematics Teacher" and received praise - "The development is well done."
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.
