Page 47 - ComputerScience_Class_11

0
-1
2
1
= 5 × 16 + 11 × 16 + 7 × 16 + 2 × 16 + 12 × 16 -2
1
= 1280 + 176 + 7 + 8 + 3/64
= (1463.1718) 10
7. Convert (11010100101.01) to octal.
2
Ans. 011 010 100 101 . 010 4(2 ) 2(2 ) 1(1 ) Octal
1
2
0
3 2 4 5 . 2 0 1 1 0 × 4 + 1 × 2 + 1 × 1 = 3
0 1 0 0 × 4 + 1 × 2 + 0 × 1 = 2
1 0 0 1 × 4 + 0 × 2 + 0 × 1 = 4
1 0 1 1 × 4 + 0 × 2 + 1 × 1 = 5
0 1 0 0 × 4 + 1 × 2 + 0 × 1 = 2
(3245.2) 8
8. Convert (1100101.110111) to hexadecimal.
2
Ans. 0110 0101 . 1101 1100 8(4 ) 4(2 ) 2(2 ) 1(1 ) Hexa
0
3
1
2
6 5 . D C 0 1 1 0 0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 6
0 1 0 1 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 5
1 1 0 1 1 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 13
1 1 0 0 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 12
(65.DC)
16
9. Convert (765.23) to binary.
8
Ans. 7 6 5 . 2 3
111 110 101 . 010 011
(111110101.010011) 2
10. Convert (FACE.07) to binary.
16
Ans. F A C E . 0 7
1111 1010 1100 1110 . 0000 0111
(1111101011001110.00000111) 2
11. Convert (217.34) to hexadecimal.
8
Ans. Converting 217.34 to binary
2 1 7 . 3 4

010 001 111 . 011 100
Binary equivalent = 010001111.011100
After removing leading and trailing 0’s
10001111.0111
Hexadecimal equivalent of 10001111.0111 is
1
0
2
1000 1111 . 0111 8(2 ) 4(2 ) 2(2 ) 1(1 ) Hexa
3
8 F . 7 1 0 0 0 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 8
1 1 1 1 1 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 15
(217.34) = (8F.7) 16 0 1 1 1 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1 = 7
8
12. Convert (C1D.B) to octal.
16
Ans. C(12) 1 D . B

1100 0001 1101 . 1011
Binary equivalent is (110000011101.1011) 2

System of Numeration 45