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1
Chapter 3
Boolean Algebra and
Digital Logic
CIS 225 Prof. Rasley
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Chapter 3 Objectives
• Understand the relationship between Boolean logic
and digital computer circuits.
• We will skip the remainder of the chapter
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3.1 Introduction
• In the latter part of the nineteenth century, George
Boole incensed philosophers and mathematicians
alike when he suggested that logical thought could
be represented through mathematical equations
.
–
How dare anyone suggest that human thought could be
encapsulated and manipulated like an algebraic formula?
• Computers, as we know them today, are
implementations of Boole’s
Laws of Thought
.
– John Atanasoff and Claude Shannon were among the first
to see this connection.
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3.1 Introduction
• In the middle of the twentieth century, computers
were commonly known as “thinking machines” and
“electronic brains.”
– Many people were fearful of them.
• Nowadays, we rarely ponder the relationship
between electronic digital computers and human
logic. Computers are accepted as part of our lives.
– Many people, however, are still fearful of them.
• In this chapter, you will learn the simplicity that
constitutes the essence of the machine.
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3.2 Boolean Algebra
• Boolean algebra is a mathematical system for
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 Spring '11
 Albert

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