Binary Addition. Example 2.
Problem: 1010 + 11 = ?.
Answer: 1010 + 11 = 1101.
For the first column (from the right) we have 0 + 1. In binary addition:
and the rightmost digit of the answer is 1.
For the second column, we have 1 + 1. In binary addition:
Therefore, the second digit (from the right) in the answer is 0 and we carry 1 to the next column. The next column now contains 0 + 0 + 1 (from the carry). In binary addition:
so that the next digit that we can fill in for the answer is 1. The final column contains 1 + 0. In binary addition:
There are no more columns so our final answer is 1 1 0 1!