Question $3(25\%)$

Suppose you are going to send the message $"$ $$>y"$ to your friend, where $y$ is the $7^{th}$ digit of

your student ID number. Each character is encoded by $7-$bit ASCII.

$($a$)$ What is the bit stream of your message?

$($b$)$ Using the generator polynomial $x^4+x^2+1,$

$($i$)$ What is the divisor?

$($ii$)$ What is the bit stream to be transmitted? Show your steps clearly.

$($c$)$ Suppose the two$-$dimensional odd$-$parity check is used, with each character considered

as a block. Derive the bit stream to be transmitted. Show your steps clearly.