
A tutorial on how to add binary numbers, along with examples, exercises and answers is presented.
let us first add binary numbers with one digit
We now add numbers with more than one digit: 1 1 1 1 + 1 1 0 1
1) We first add the digits in the "ones" column: 1 + 1 = 10. The 0 is put in the "ones" column and carry the 1 to the "twos" column.
2) We next add the digits in the "twos" column including the carry: 1 + 1 + 0 = 10. The 0 is put in the "twos" column and carry the 1 to the "fours" column.
3) We next add the digits in the "fours" column including the carry: 1 + 1 + 1 = 11. The 1 is put in the "fours" column and carry the 1 to the "eights" column.
4) We now add the digits in the "eights" column including the carry: 1 + 1 + 1 = 11. The 1 on the left is put in the "eights" column and the other 1 in the "sixteens" column.
You can check the above addition of binary numbers using their decimal representations. 1111 is 15 in decimal and 1101 is 13 in decimal. The answer is 11100 is 28 in decimal.
ExrecisesA) Add the binary numbers.
Answers to Above Exercises
