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For each binary vector below, what does it represent if it is interpreted as a Decimal number in
conventional binary form (positive only), a Decimal number in 2’s complement form (positive and
negative), an Octal number, and a Hexadecimal number?
Decimal
conventional
2’s complement
Binary
form
form
Octal
Hexadecimal
001111
100000
111111
100110
1
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View Full Document F
(
A, B, C, D
)=
X
m
(0
,
5
,
6
,
10
,
14
,
15)
d
(
A, B, C, D
X
m
(2
,
4
,
8)
00
01
11
10
00
01
11
10
AB
CD
a) Identify all the prime and essential prime implicants.
Prime
Essential
b) Find the minimum twolevel logic implementation.
F
=
2
Given following logic equations, minimize the number of literals, e.g. by using common subexpres
sions, Boolean rules, etc. (Hint: you don’t need to introduce new intermediate equations.)
H
=
¯
ABC
¯
E
+
¯
ABCF
J
=
ADE
+
AD
¯
F
+
¯
BDE
+
¯
BD
¯
F
+
¯
CDE
+
¯
CD
¯
F
K
=
¯
ABC
¯
EF
+
¯
EFG
+
¯
G
L
=
¯
ABC
M
=
¯
3
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View Full Document Specify the truth table (i.e. output =
{
0, 1, x
}
) for the design problem below.
mode
Logic
D
2
D
1
D
0
A
1
A
0
mode
D
2
D
1
D
0
A
1
A
0
00
0
0
0
1
1
0
1
1
01
0
0
0
1
1
0
1
1
10
0
0
0
1
1
0
1
1
11
0
0
0
1
1
0
1
1
If
mode
=0
:
•
The outputs
A
1
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This note was uploaded on 01/09/2012 for the course CSE 140 taught by Professor Rosing during the Spring '06 term at UCSD.
 Spring '06
 Rosing

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