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
   ---------