Note: need to show your work including formula, step by step solving the problem to get credit.

Question:

Consider the following tasks related to CRC error detection. Use bitwise XOR for all calculations and show your work. $[$Hint: Do not use subtraction or addition methods.$]$

Part A: Given a $4-$bit generator polynomial $G(x)=x^3+x+1,$ and the data $D$ with the value $101110011,$ determine the value of the remainder $R.$ Show your work.

Part B: How many bits are required in the header for the above CRC code?

Part C: What is the transmitted message as a frame $T?$

Part D: Describe how the receiver verifies whether the message $T$ was transmitted without errors.

Your Answer: