Calculate Binary Sum

Addition is the simplest binary operation. Adding two single digit binary numbers is relatively simple, using the technique of carrying.

0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 0 (with carry = 1)

Adding two digits of value 1 produces a digit 0 and carry over of 1 (i.e 2 digits). This value will be added to the next column. This is same for decimal numbers. For example, in decimal numeral system if we add.

5 + 6 = 1 (with carry = 1)

Just like in the decimal numeral system, carrying over in binary works in the same way

     1 1 1    (carried digits)
   0 0 0 1 1
 + 1 0 1 0 1
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=  1 1 0 0 0 = 24 (in decimal)