ComputingRevision.net

Step 1

Start on the right with the least-significant bit column. Add 0 and 1.

This gives us 1. Write 1 into the column.

Step 2

Move left, to the 7th column. Add 1 and 1.

This gives us 10 (which is 2 in denary). Write 0 into the column and carry the 1.

Step 3

Move left, to the 6th column. Add 1 and 1.

Also add the carry bit from the previous column.

This gives us 11 (which is 3 in denary. Write 1 into the column and carry the 1.

Step 4

Move left, to the 5th column. Add 1 and 0.

Also add the carry bit from the previous column.

This gives us 10 (which is 2 in denary). Write 0 into the column and carry the 1.

Step 5

Move left, to the 4th column. Add 0 and 1.

Also add the carry bit from the previous column.

This gives us 10 (which is 2 in denary). Write 0 into the column and carry the 1.

Step 6

Move left, to the 3rd column. Add 1 and 1.

Also add the carry bit from the previous column.

This gives us 11 (which is 3 in denary. Write 1 into the column and carry the 1.

Step 7

Move left, to the 2nd column. Add 0 and 1.

Also add the carry bit from the previous column.

This gives us 10 (which is 2 in denary). Write 0 into the column and carry the 1.

Step 8

Move left, to the 1st column. Add 0 and 0.

Also add the carry bit from the previous column.

This gives us 1. Write 1 into the column.

An overflow error happens when a computer tries to store a number that is too large to fit in the available number of bits.

For example, when adding two 8-bit numbers, we end up with a 9th bit.

When this happens, the extra value is lost or wraps around, leading to an incorrect result.