Texts: Cyclic Redundancy Check (CRC):
a) Calculate the CRC-5 checksum of the binary message 11100100. The CRC-5 generator polynomial to be used here is g(x) = x^5 + x^2 + 1. What is the extended message C(x) to be transmitted along with the calculated checksum? (The complete calculation path must be provided to receive full credit.) (11 points)
Calculation path:
b) During the transmission of the extended message C(x), errors can occur, causing the receiver to potentially receive a modified message C'(x) = C(x) + E(x). Here, E(x) represents the error polynomial.
If E(x) = 0, it means that no errors have occurred and C'(x) = C(x). Which type of error control in data transmission does the CRC method belong to? When can the receiver assume that the data has been transmitted without errors after applying the CRC method? What would be the consequence if, when using the CRC method, the error polynomial E(x) is divisible by the generator polynomial G(x)? Name a solution to make this case very unlikely. (6 points)
2. Cyclic Redundancy Check (CRC)
a) Calculate the CRC-5 checksum of the binary message 11100100. The CRC-5 generator polynomial to be used here is g(x) = x^5 + x^2 + 1. What is the extended message C(x) to be transmitted along with the calculated checksum? (The complete calculation path must be provided to receive full credit.) (11 points)
Calculation path:
b) During the transmission of the extended message C(x), errors can occur, causing the receiver to potentially receive a modified message C'(x) = C(x) + E(x). Here, E(x) represents the error polynomial.
If E(x) = 0, it means that no errors have occurred and C'(x) = C(x). Which type of error control in data transmission does the CRC method belong to? When can the receiver assume that the data has been transmitted without errors after applying the CRC method? What would be the consequence if, when using the CRC method, the error polynomial E(x) is divisible by the generator polynomial G(x)? Name a solution to make this case very unlikely. (6 points)