$8.$ We have the following code word: $1101111001100.$ This string has $9$ data bits, plus $4$ check bits. We are using an error$-$correcting code that can correct single bit errors. In fact, there is a single bit error in this code. Assuming the use of the Hamming algorithm, locate the bit that has been altered. $9.$ Find the quotient and remainder for the following modulo $2$ division problems. a$.11011012/11102$ b$.100111112/101210.$ Using the CRC polynomial $1011,$ compute the CRC code word for the information word $100110110.$ Provide the $$reverse$$ calculation for the receiver so that you can verify that the transmission is correct.