Binary addition

Addition of binary numbers is very similar to adding decimal numbers, take an example:

Let's look at the above example step by step:

1 + 1 = 0 (carry one) 1 + 1 (+ the carry) = 1 (carry one) 0 + 1 (+ the carry) = 0 (carry one) 1 + 0 (+ the carry) = 0 (carry one) 1 + 0 (+ the carry) = 0 (carry one) 0 + 1 (+ the carry) = 0 (carry one) 1 + 0 (+ the carry) = 0 (carry one)

The last carry is placed at the left hand side of the result giving: 10000010