Simplify the following Boolean Expression using Karnaugh Map.
·
Express
the stated equation in term of complete Min-terms.
Answer:
for complete min terms we must have standard SOP. Where as given SOP
Boolean expression are non-standard expression. We have to convert them into
standard Boolean expression.
Standard Boolean expressions and complete min
terms are :
·
Plot the
obtained Min-terms in K-Map table.
Answer:
WX/YZ
|
00
|
01
|
11
|
10
|
00
|
0
|
 11 |
3
|
2
|
01
|
4
|
51
|
7
|
6
|
11
|
12
|
13
|
15
|
14
|
10
|
8
|
9
|
11
|
10
|
U,V = 0,0
WX/YZ
|
00
|
01
|
11
|
10
|
00
|
16
|
 171 |
19
|
18
|
01
|
20
|
21
|
23
|
22
|
11
|
28
|
29
|
31
|
30
|
10
|
24
|
25
|
27 1
|
26
|
U,V = 0,1
WX/YZ
|
00
|
01
|
11
|
10
|
00
|
32 1
|
 33 1 |
35
|
34
|
01
|
36 1
|
37
|
39
|
38
|
11
|
44
|
45
|
47 1
|
46
|
10
|
40
|
41
|
43
|
42
|
U,V = 1,0
WX/YZ
|
00
|
01
|
11
|
10
|
00
|
48
|
 49
1 |
51 1
|
50
|
01
|
52
|
53
|
55
|
54
|
11
|
60
|
61 1
|
63
|
62 1
|
10
|
56
|
57
|
59
|
58
|
U,V = 1,1
·
Extract
the simplified equation from K-Map.
Answer:
Simplified equation from K-map is
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