Fractional Numbers
Fractional Numbers
In the binary number system,fractional numbers are formed in the same way as in decimal number system.For example,in decimal number system,
0.235=(210-1)+(3
10-2)+(5
10-3)
Similarly in binary number system,
0.101=(12-1)+(0
2-2)+(1
2-3)
Hence,binary point serves the same purpose as decimal point. Some positional values in binary number system are given below:
| Position | 4 | 3 | 2 | 1 | 0 | . | -1 | -2 | -3 | -4 |
| Position Value | 24 | 23 | 22 | 21 | 20 | 2-1 | 2-2 | 2-3 | 2-4 | |
| Quantity Represented | 16 | 8 | 4 | 2 | 1 | 1/2 | 1/4 | 1/8 | 1/16 |
Converting Binary Fractional Number to Decimal Equivalent:
A) Convert the integral part of binary to decimal equivalent
1.Multiply each digit separately from left side of radix point till the first digit by 20, 21, 22,… respectively.
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