Back to Binary Addition Labs: Cryptography. Part1.

Binary Addition. Example 2.


Problem: 1010 + 11 = ?.

Answer: 1010 + 11 = 1101.

Explanation:

1010
+11

For the first column (from the right) we have 0 + 1. In binary addition:
0 + 1 = 1,

and the rightmost digit of the answer is 1.

For the second column, we have 1 + 1. In binary addition:

1 + 1 = 0 carry 1 .

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:
0 + 0 + 1 = 1,

so that the next digit that we can fill in for the answer is 1. The final column contains 1 + 0. In binary addition:
1 + 0 = 1 .

There are no more columns so our final answer is 1 1 0 1!
Back to Binary Addition Last Modified: August 2008