Binary addition

shortcuts 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

A B sum carry
0 0 0 0
0 1 1 0
1 0 1 0
1 1 0 1

In first three rows, there is no carry means carry is zero.(c=0 )while in last row carry is generated (c=1)  .Similar to decimal number system ,it will be added to the next higher binary position. See the example,

Example − Addition

How to add two binary numbers?
1 0 1 0 + 0 1 0 1 = ?

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

  1   1   1   1     =   (15)10

NEXT EXAMPLE,

See, How to add two binary numbers?
1 1 1 0    + 0 1 1 1   =  ?

STEP 1:

STEP 2:STEP 3:
STEP 4:FINAL ANSWER:

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