Q$1.($a$)$ A message $1010101$ is to be sent with additional error correcting digits to enable cyclic redundancy checking $($CRC$)$ to be employed. The divisor word selected is $11001$: $($i$)$ What are the main advantages of CRC$?$ What types of operations are involved in this technique? Explain your response in detail. $[2$ Marks$]($ii$)$ Determine the actual bits transmitted including the error checking bits. $($iii$)$ Prove that no error occurs if this frame is decoded at the receiver using knowledge of the divisor word. $($iv$)$ Describe with the aid of a diagram, how this operation can be realised using a Megitt encoder. Discuss the operation of this encoder in every phase