ID is = 1071849

Consider your student ID composed of seven digits. Ignore all zeros and convert the last two-digits value to binary format. For example, 1045060 is simplified to 56 and then converted to: dataword = 011 1000 (use only seven bits).

Question 1 (1.5 marks): CRC

a) Find the codeword corresponding to the dataword you just generated using the CRC error detection technique, and the divisor polynomial g(x) = x3 + x+1.

b) Assume there is no error and the receiver received the codeword you generated in question a). Show what the receiver will do to detect that there is no error. Do it with binary division modulo 2.

c) Assume that an error corrupted three bits at 0 of your choice; show how the CRC technique allows the receiver to detect such an error. Do it with polynomial division.