The binary number systems consists of only 2 digits : these are 0 and 1.
In this number system, we apply the same rules as adding numbers in the decimal system.
In this number system, we apply the same rules as adding numbers in the decimal system.
This is the basics of binary addition.
You're probably wondering why 1 + 1 is 1 0 and not 2. That's because there is no number 2 (or 3, 4, 5, 6...) in the system. Every time a 1 + 1 appears, we carry 1 to the following digit and leave a 0 in the first digit.
Now let's try it with a four digit binary number :
So, we add these numbers as we normally would, column by column.
Zero plus zero will be 0.
One plus one will be 1 0. So we write the 0 while the 1 is carried over to the third column.
One plus zero plus one is equal to 1 0. Bring down 0 and carry the 1 over to the 4th column.
1 plus 1 will be 1 0. Add another 1 and the result will be 1 1.
Bring down 1 while the other 1 is carried over.
Bring down the last 1 to get the answer.
So, we add these numbers as we normally would, column by column.
Zero plus zero will be 0.
One plus one will be 1 0. So we write the 0 while the 1 is carried over to the third column.
One plus zero plus one is equal to 1 0. Bring down 0 and carry the 1 over to the 4th column.
1 plus 1 will be 1 0. Add another 1 and the result will be 1 1.
Bring down 1 while the other 1 is carried over.
Bring down the last 1 to get the answer.
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