5. Consider the following CRC polynomial: C(X) = X5 + X2 +1. This CRC is used in USB. (a) Draw the hardware using shift registers and XOR gates to implement the CRC algorithm with the above C(X). (b) Suppose that you want to transmit a 5-bit message 10111 using the above CRC. bi Using the hardware, determine the CRC bits and the message that should be transmitted. Please show your work as much detail as possible. A single answer on the CRC bits will not be given credit. b2 Using polynomial division to verify the answer in (bl). (c) Now, assume that the second and third bits from the left of the transmitted message are in error. Show how the error is detected. (d) Can C(X) detect any 4-adjacent-bit error in the data? Can C(X) detect any single-bit error in the data? Justify your answers