For the four data bits $d_1,d_2,d_3,$ and $d_4,$ the codeword can be encoded by adding the parity bits $p_n$ which are defined using the following equations:

$p_1=d_{2}o+d_{3}o+d_4$

$p_2=d_{1}o+d_{3}o+d_4$

$p_3=d_{1}o+d_{2}o+d_4$

$p_4=d_{1}o+d_{2}o+d_3$

What will be codeword transmitted if the data bits are $1100?$

Show how you used the above equations in generating the parity bits.

Derive the generator and check matrix which can be used to encode the four data bits.

Using the derived generator matrix, what will the codeword be$,$ for the data bits $1001?$

Show how you used the generator matrix.