Q. Show the procedure of Binary Addition?

Rules of Binary Addition

• 0 + 0 = 0
• 0 + 1 = 1
• 1 + 0 = 1
• 1 + 1 = 0, and carry 1 to the next more important bit

The addition of a binary numbers proceeds in the same fashion as the addition of numbers in the more familiar base-10 or decimal.

Assume we add the two binary numbers 111 and 10:

                                                    111
                                                      10
                                                  1001

• we add the numbers in the right hand column 0 + 1 = 1
• We then add the numbers in the 2nd column from the right. This time (in binary!) 1 + 1 = 10 so we put a 0 beneath the line and carry 1 to the next column.
• In the third column we add 1 and the 1 we have carried, so that 1 + 1 = 10 (in binary again!). Yet again we put 0 beneath the line and carry 1. Since there are no further columns this 1 appears beneath the line as the fourth bit.

Check the answer that makes sense! 111 is the binary for 7, 10 is the binary for 2, so our answer should be the binary for 9.