Binary addition

We all are familiar with addition of decimal numbers.Similar operation can be performed on  binary numbers. In fact binary arithmetic is much simpler than decimal, since only two digits are involved ,0 and 1.Binary arithmetic is essential part of all the digital computers .lets go for it,

Rules for binary addition

ABsumcarry
0000
0110
1010
1101

In first three rows, there is no carry means, carry is zero(c=0 ),while in last row carry is generated (c=1) . As similar in decimal addition ,this carry will be added to the next higher binary position.As shown in the example,

Example − Addition

How to add two binary numbers?use above rules of binary addition.
1 0 1 0 + 0 1 0 1 = ?


    1   0   1   0       = (10)10        
0   1   0   1       =  (5)10

Answer is given below,

  1   1   1 1     =   (15)10

NEXT EXAMPLE,

See another example to clearify more, Adding two binary numbers? Step by step shown below.
1 1 1 0    + 0 1 1 1   =  ?

Final answer

In this way we can add two binary numbers.