binary addition algorithm



0110 1110

0001 0111

---------

The carry out of the left column in the final sum can be discarded, in this case.

But in general you must be careful with it. See the following pages.

Check the answer by converting to decimal representation and doing the addition in that base (the same numbers are being added, but now represented in a different way, so the sum is the same.)



   01111 110

    0110 1110    =  110 (base 10)

  + 0001 0111    =   23 (base 10)

    ---------      -----

    1000 0101    =  133 (base 10)

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