The following code words $000000,010101,101010,110110$ are selected for a

communication.

a$)$ Compute the hamming pairwise distance for the above codewords.

b$)$ If these code words together $(24$bits$)$ in the same order were transmitted as

data, compute the parity bits needed to be added so that it forms a Hamming

code.

c$)$ How many bit errors can be detected and corrected in the above $2$ cases?