Back to Binary Addition Labs: Cryptography. Part 1.

Binary Addition. Example 1.


Problem: 1 + 11 = ?.

Answer: 1 + 11 = 100.

Explanation:

1
+11

If we take the first column from the right, we get the binary addition of 1 and 1, which is:
1 + 1 = 10 = 0 carry 1

The rightmost digit of our answer is therefore 0.

The second column from the right becomes: 0 + 1 + 1 (from the carry). In binary addition:

0 + 1 + 1 = 10 = 0 carry 1

Therefore, the second rightmost digit is a 0 and a 1 is carried to the next column. The next column doesn't exist (there are no numbers), therefore the 1 drops into the next slot of the answer. So our answer is: 1 0 0 !
Back to Binary Addition Last Modified: August 2008