Page 80 - Computer Science V2.0 Class 11

10. Write binary representation of the following hexadecimal numbers.
i. 4026
ii. BCA1
iii. 98E
iv. 132.45
Ans. i.

HEXADECIMAL 4 0 2 6
BINARY 0100 0000 0010 0110
Binary Number = (100000000100110) 2
ii.
HEXADECIMAL B C A 1
BINARY 1011 1100 1010 0001
Binary Number = (1011110010100001) 2
iii.

HEXADECIMAL 9 8 E
BINARY 1001 1000 1110
Binary Number = (100110001110) 2
iv.

HEXADECIMAL 1 3 2 4 5
BINARY 0001 0011 0010 0100 0101
Binary Number = (100110010.01000101) 2

11. How does computer understand the following text? (hint: 7-bit ASCII code).

i. HOTS
ii. Main
iii. CaSe
Ans. i. 072 078 084 083
H 072
O 078
T 084
S 083
ii 077 097 105 110

M 077
a 097
i 105
n 110

iii. 067 097 083 101
C 067
a 097
S 083
e 101
12. The hexadecimal number system uses 16 literals (0 – 9, A– F). Write down its base value.
Ans. The base value of hexadecimal system is 16.
13. Let X be a number system having B symbols only. Write down the base value of this number system.
Ans. The Octal number system has 8 symbols (0 - 7). So the base of the octal number system is 8.
Likewise, if X is a number system having B symbols then, the base value of that number system will be B.

66 Touchpad Computer Science (Ver. 2.0)-XI