Calculate Binary Sum

Updated: Apr 1, 2018

Calculate Binary Sum is used to perform addition operation on two or more binary numbers

Input: Paste binary numbers below (1 per line, at least two)



Background Information

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
 -------------
=  1 1 0 0 0 = 24 (in decimal)

 

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History

Apr 1, 2018
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