Page 62 - Computer Science V2.0 Class 11

Conversion of Octal Numbers to Binary
To convert an octal number to binary, for each octal digit, write its 3-bit binary representation.
Example 38: Convert (0.54) to binary
8
0 . 5 4
↓ ↓
101 100
= (0.101100) 2

Example 39: Convert (6.2) to a binary number.
8
6 . 2
↓ ↓
110 010
= (110.010) 2
Example 40: Convert (743.456) to a binary number.
8
7 4 3 . 4 5 6
↓ ↓ ↓ ↓ ↓ ↓
111 100 011 100 101 110

= (111100011.100101110) 2

Find binary representation of (6.2) (4.56) and (6.2) .

8
8,
8
Conversion of Binary Numbers to Hexadecimal
To convert a fractional binary number to its equivalent hexadecimal number, form groups of four bits, starting from left
to right after the radix point. If the number of bits is not a multiple of four, append the required number of 0's on the
right end. Finally, replace each group of four bits with an equivalent hexadecimal digit.
Example 41: Convert (.11011) to its equivalent hexadecimal number.
2
three 0s added

1 1 0 1 1 0 0 0

D 8
(.11011) = (.D8) 16
2
Example 42: Convert (10110.10) to its equivalent hexadecimal number.
2
three 0s added two 0s added

00010110 . 1 0 0 0

1 6 8
(10110.10) = (16.8) 16
2

Find hexadecimal representation of (110.01) , (100.101110) , and (110.011) .
2

2
2

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