Hamming code sample problem 4 solution

Received code:
0 1 1 1 1 1 0 1

This is not a correctly received code. Furthermore, it is not a single bit error; there is no code in the table that is within Hamming distance 1 of it. There are four valid codes that are at Hamming distance 2 from the received code;
0 1 0 1 0 1 0 1
0 1 1 1 1 0 0 0
0 0 1 0 1 1 0 1
1 1 1 1 1 1 1 1

It is impossible for the receiver to determine which of these is correct. The receiver must report a double bit error; it cannot correct the error.