(9pt, CRC) An error-detection technique widely used in today's computer networks is based on the Cyclic Redundancy Check (CRC) codes. In CRC codes, a block of bits is represented as a polynomial in which each coefficient is either O or 1. Let the generator polynomial be G(x)=x'+ x2+1. Let the original data polynomial be D(x)=x5+x' +x +x +1. (a) Calculate the redundancy polynomial R(x). Also find the transmitted polynomial T(x) which includes the original data and the added CRC bits. (b) Let Y(x) be the reception polynomial. Suppose due to noise, Y(x)= T(x) +x"* + x. Show that the error could or couldn't be detected at the receiver. (c) Let Y(x) be the reception polynomial. Suppose due to noise, Y(x)=T(x) +x*+x'tx.Show that the error could or couldn't be detected at the receiver.