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NIMCET 2015 Question Paper with solutions
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© examsnet.com
Question : 119
Total: 120
Consider 4-bit gray code representation of numbers.Let
h
3
h
2
h
1
h
0
be the gray code representation of anumber ‘n’ and
g
3
g
2
g
1
g
0
be the gray coderepresentation of the number (n+1) modulo 16. Whichone of the following functions is correct.
g
0
(
h
3
h
2
h
1
h
0
)
= Σ (1 , 2 , 3 , 6 , 10 , 13 , 14 , 15)
g
1
(
h
3
h
2
h
1
h
0
)
= Σ (4 , 9 , 10 , 11 , 12 , 13 , 14 , 15)
g
2
(
h
3
h
2
h
1
h
0
)
= Σ (2 , 4 , 5 , 6 , 7 , 12 , 13 , 15)
g
2
(
h
3
h
2
h
1
h
0
)
= Σ (0 , 1 , 6 , 7 , 10 , 11 , 12 , 13)
Validate
Solution:
Binary
h
h
3
‌
h
2
‌
h
1
‌
h
0
(n+1)mod 16
g
3
‌
g
2
‌
g
1
‌
g
0
0000
0
0000
1
0001
0001
1
0001
2
0011
0010
2
0011
3
0010
0011
3
0010
4
0110
0100
4
0110
5
0111
0101
5
0111
6
0101
0110
6
0101
7
0100
0111
7
0100
8
1100
1000
8
1100
9
1101
1001
9
1101
10
1111
1010
10
1111
11
1110
1011
11
1110
12
1010
1100
12
1010
13
1011
1101
13
1011
14
1001
1110
14
1001
15
1000
1111
15
1000
0
0000
This gives the solution option (b).
g
1
(
h
3
‌
‌
h
2
‌
‌
h
1
‌
‌
h
0
)
=
Σ
(
4
,
9
,
10
,
11
,
12
,
13
,
14
,
15
)
© examsnet.com
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