Homework Set 2 Solutions, ECE 25, Fall 2013
The following questions are taken from chapter 2 problems in Mano and
Kime, 4th Edition. Some answers are from the website
http://writphotec.com//mano4//problem
solutions.html
and the remainder are taken from a pdf provided to instructors by Pearson.
1. Demonstrate by means of truth tables the validity of the following identity:
DeMorgan’s theorem for three variables
XY Z
=
X
+
Y
+
Z
.
Solution:
2. Prove the identity of the following Boolean equation using algebraic ma
nipulation:
X
Y
+
X Y
+
XY
=
X
+
Y
.
Solution:
3. Simplify the following Boolean expression to an expression containing a
minimum number of literals:
A
C
+
A B C
+
B C
.
Solution:
1
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View Full Document4. Using DeMorgan’s Theorem, express the function
F
=
A
BC
+
A
C
+
AB
(a)
with only OR and complement operations.
(b)
with only AND and complement operations.
Solution:
5. Find the complement of the following expression: (
V W
+
X
)
Y
+
Z
.
Solution:
6. Obtain the truth table of the following function, and express in sumof
minterms form: (
XY
+
Z
)(
Y
+
XZ
).
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 Fall '08
 staff
 Boolean Algebra, Boolean function, Logical connective, Booleanvalued function, following Boolean Expression

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