5. In a CRC error-detection scheme, choose P(x) = x^4 x 1.a. Encode the bits 10101001011 and confirm. (5 marks)b. Introduce an error pattern 000010100001000, i.e., invert the digit in the codeword where it appears in the error pattern sequence and see if the error can be detected. (3 marks)c. Introduce an error pattern 000101110000000 and see if the error can be detected. What can be deduced? (6 marks)