Assume that this $8-$bit dataword will be sent in two parts of $4$ bits with the C$(7,4)$ Hamming code in the relevant lecture note. For both $4-$bit pieces, a$)$ find and write the sent codeword $($either by looking at the table or by calculating the syndrome$)$ and b$)$ show the syndrome calculation on the receiver side, assuming that it is received without error.