Page 13 - Computer Genius Class 07
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Example 2: on ert the decimal num er i.e. to inary.
1
2
2 2
2 1
2
2
2 2
1
The inary e ui alent o is 1
1
n other ords 1
1 2
Binary to Decimal Conversion
To con ert a inary num er into a decimal num er ollo these steps
Start from the right-most digit known as the LSD before the fractional point, and move
leftwards.
While doing so, multiply each digit by 2 raised to a particular power. The powers of 2 start
from 0 and increase to 1, 2, and so on as you move leftwards.
Add up all the resulting products. You will get your decimal number.
The gi en e amples ill help you understand the con ersion.
Example 1: on ert 1111 to decimal num er.
2
1
2
1 2 1 2 1 2 1 2
2 1
1
1111 1
2 1
Example 2: on ert 1 111 to decimal num er.
2
2
1
1 2 2 1 2 1 2 1 2
1 2 1
2
1 111 2
2 1
Example 3: on ert 1 1.1 1 to decimal num er.
2
Position 2 1 1 2
Face value 1 1 1 1
Weights 2 2 2 1 2 2 1 2 2 2
Number System 11

