### A good answer might be:

    0011 1111

      11
       1101 0010    21010
       0110 1101    10910
       ---------    ---
       0011 1111     6310

The carry bit of 1 indicates overflow.

# Yet More Addition Practice

The correct application of the "Binary Addition Algorithm" sometimes gives incorrect results (because of overflow). With paper-and-pencil arithmetic overflow is not a problem because you can use as many columns as needed.

Correct Unsigned Binary Addition
When the "Binary Addition Algorithm" is used with unsigned binary integer representation: The result is CORRECT only if the CARRY OUT of the high order column is ZERO.

But digital computers use fixed bit-lengths for integers, so overflow is possible. For instance the MIPS 3000 processor can represent integers in 8, 16, or 32 bits. When 8-bit operands are added overflow is certainly possible. Later MIPS processors include a 64-bit integer data type, but even so, overflow is possible.

### QUESTION 10:

Compute the following sum using 8 bits:

>        0000 0001
>        1111 1111
>        ---------