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8/24/2010
1
ECE 3504
Digital Design I
Section 1:
Logic Functions and Boolean Algebra
What You Should
Already Know!
y
Periodically, I will include
summaries of information that you
should already know
should already know.
y
Some summaries will be more
extensive than others.
y
In general, you are responsible for
making sure that you have
command of this material outside
of class, either through individual
or group review, or by asking
questions during office hours.
What You Should
Already Know!
y
Truth table representation of logic
functions
y
Functional definitions of the seven
logic gates
y
Boolean algebra axioms as
presented in ECE 2504
Primitive Logic Gates
y
AND
The output is true
if and only if
all
inputs are true
inputs are true.
y
OR
The output is true
if
any
of the
inputs are true
y
NOT
The output takes on the logic
value not held by the input.
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2
Implementation
AND gate
OR gate
Inverter (NOT gate)
A
B
AB
A + B
A
′
B
′
0
0
01
10
11
Complementary Logic
y
Complementary logic gates
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 '06
 JSThweatt

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