mchinich_ee321_Chapter13 - Rizzoni Principles and...

Rizzoni, Principles and Applications of Electrical Engineering, Edition Problem solutions, Chapter 13
Section 13.2: The Binary Number System
Problem 13.1
Solution:
Known quantities:
The base 10 representation of five numbers:
Find:
The hex and the binary representation for these numbers.
Analysis
:
Using the methodologies introduced in paragraph 13.2:
a) b) c) d) e)
Problem 13.2
Solution
Known quantities:
The hex representation of five numbers: 21
Find:
The base and the binary representation for these numbers
An a I ysis :
Using the methodologies introduced in paragraph 13.2:
a) b) c) e)

..
..
-
W C
*
E
-
a
a
0

G. Rizzoni, Principles and Applications of Electrical Engineering, Edition Problem solutions, Chapter
I3
Problem
13.3
Solution :
Known quantities:
The base representation of four numbers:
Find:
The binary representation for these numbers.
Analysis :
Using the methodologies introduced in paragraph 13.2:
a)
b) c) d) 110110.010001,
Problem 13.4
Solution:
-
Known quantities:
The binary representation numbers: I
I
Find:
The hex and the base representation for these numbers.
Problem
13.5
Solution:
Known quantities:
Three couples of binary numbers.
Find:
The addition for each couple.
Analysis:
Using the methodologies introduced in paragraph 13.2:
a)
11111010 b)
100010100
c)

L
W
e,
E:
u
E:
E:
.a
E
W
c
-
I
E
0
-
3 >
0
W
Y

W E
* 4 E I
e
x
m m C
C 0
C 0
*
5 0 5
0 C
.I
-
a,
..
0
e
L

G. Rizzoni, Principles and Applications of Electrical Engineering, Edition Problem solutions, Chapter
Section 13.3: Boolean Algebra
Problem 13.11
Solution:
Known quantities:
The expression
= .
Find:
The truth table that that the expression is true
Analysis:
Using a truth table as explained in paragraph 13.3:
4
A
-
A AB A
B
A
B
0 0
1 0 1
B
we
prove expression
is
true.
Problem 13.12
Solution:
Known quantities:
The expression BC
+
+
=
A
+
B
Find:
The
truth table that proves that the expression is true.