Number System

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Assignment -2
Date:-20/7/12
Subject:-D.E.(331102)
Number System
1.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
2.
a)
b)
c)
d)
e)
f)
g)
h)
i)
3.
a)
b)
c)
d)
e)
f)
g)
h)
Convert following Number into Decimal Number.
110100
101010
1011
11111
1110111
101011
10.10001
10110.0101
1110101.110
1101101.111
Convert following Number into Binary Number.
248
5694
5413
102
65331
91
999
7986
98245
Convert following Decimal Number into Octal Number.
149
35
921
362
2512
98
5621
1092
4.
a)
b)
c)
d)
e)
f)
g)
h)
5.
a)
b)
c)
d)
e)
f)
g)
6.
a)
b)
c)
d)
e)
f)
g)
h)
7.
a)
b)
c)
d)
e)
f)
g)
h)
i)
j)
k)
l)
8.
a)
Convert following Decimal Number into Hexadecimal Number.
248
149
5694
256
98244
5622
65536
1099
Convert following Octal Number into Binary and Decimal Number.
321
467
7654
231
143
6254
67
Convert following Hexadecimal Number into Binary and Decimal Number.
1000
A023
FEA
FFFF
690
BA00
256
AEF
Convert following Binary Number into Octal and Hexadecimal Number.
11011
11011.101
1011111.101
1011.101
111111.11
100001
11.11
101010
101
0.101
110011001
101.101
Obtain the 1’s and 2’s complement.
1010101
b) 0111000
c) 00000001
d) 10000
e) 11101
f) 00000
g) 101.111
h) 111
i) 10001
j) 1110111
9. Obtain the 9’s and 10’s complement.
a) 13579
b) 09900
c) 90000
d) 10000
e) 98
f) 100
g) 72
h) 999
i) 1011
10. Perform the subtraction of following binary using 2’s complement and 1’s
complement
a) 11010-1101
b) 11010-10000
c) 10010-10011
d) 100-110000
e) 11111-0001
f) 1101-111110
g) 100-101
h) 110011-1101
11. Convert following decimal numbers into BCD code and Excess-3 code
a) 982
b) 1246
c) 890
d) 378
e) 1097
f) 8978
g) 273
h) 791
i) 1193
j) 934
12. Convert following Binary code numbers into Grey code.
a) 1101101
b) 11101
c) 110110
d) 111111
e) 101010
f) 1011111
g) 001100
h) 1000001
i) 1101
j) 100
13. Convert following Grey code numbers into Binary code.
a) 11110
b) 1010
c) 110111
d) 10111
e) 01010
f) 000001
g) 101111101
h) 1000001
i) 1111
j) 111101
14. Perform Binary addition, operation on following numbers.
a) 11011 + 1101
b) 1011 + 1101
c) 10111.101 + 110111.01
d) 1010.11 + 110.10
15. Perform Binary subtraction operation on following numbers.
a) 1011 – 101
b) 10110 – 1011
c) 1100.10 – 111.01
d) 10001 – 1111.11
16. Perform Binary multiplication operation on following numbers.
a) 1101 X 101
b) 11001 X 10
c) 1101.11 X 101.1
d) 10110 X 10.1
17. Perform Binary Division operation on following numbers.
a) 1010 by 11
b) 11110 by 101
c) 11011 by 10.1
d) 110111.1 by 101
a)
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