For letter $\text{'}$r$\text{'}.$

a$)$ Convert the Third letter $($Lower case$)$ of your name into an $8-$bit ASCII binary number.This is your data set for this section.b$)$ Using the Hamming algorithm, determine the binary value of the check bits that would be stored in memory along with the data bits. Show how you got your answer. Also append the check bits @ appropriate positions in your data set. By now, you should have a $12-$bit long data word.c$)$ Flip D$6($data$-$bit # $6)$ in your data word $($obtained in step a$)$ and recalculate the check bits.d$)$ Calculate the syndrome bits and explain how will you interpret the syndrome result for error location. What action will be taken for error correction?