Please show all the work when solving, trying to learn here, and thank you in advance!

12. Error detection (a) (4 pts) Consider a CRC code with a generator polynomial of G(z) = +z? + I. Compute the checksum generated on the following (very short) data frame: 1100. You must show your work. b) (4 points) Can the above CRC code detect all burst errors in which the number of bits in error is odd? Explain why or why not c) (4 points) Consider the following error pattern that occurs in a frame: X-XX - - - X, where X represents a bit in error and - represents a bit that is correct. Will the above CRC code detect this particular error? Explain why or why not d) (4 points) What is the probability that the above CRC code will detect a burst error of length 6? Show your work