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Binary to decimal conversion
Again I take it for granted that you know the conventional method to convert binary to decimal number. Let’s discuss a shortcut method for the same. Again out magical table will be of great help regarding this conversion.
This is a relative simpler task.
Step 1:
place the given binary number below the respective column in the
tables from the right.
Step 2:
simply add u the digits of the table below which binary “1”s are
written and
ignore the digits below which binary 0 is written.
Let’s discuss it with an example.
1.
Converting 1101 into decimal number.
Step 1: place the given binary number below the respective column in the tables from the right.
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128 |
64 |
32 |
16 |
8 |
4 |
2 |
1 |
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1 |
1 |
0 |
1 |
Step 2: add the digits below which binary “1”s are written i.e. 8, 4 and 1. And ignore the digits below which binary “0” are written i.e. 2
So the decimal equivalent of 1101 is 13. it is expressed as (1101)2= (13)10
Let’s take one more example.
1.
Converting 101010 into decimal number.
Step 1: place the given binary number below the respective column in the tables from the
right.
|
128 |
64 |
32 |
16 |
8 |
4 |
2 |
1 |
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1 |
0 |
1 |
0 |
1 |
0 |
Step 2: add the digits below which binary “1”s are written i.e. 32, 8 and 2. And ignore the digits below which binary “0” are written i.e. 16, 4 and 1.
So the decimal equivalent of 101010 is 42. It is expressed as (101010)2= (42)10
I advice you to do practice of converting binary into decimal number and vice versa as much as you can because it will be of immense help in networking.
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