1. (25 points) Assume the codeword transmitted is received as: T(x)X15X13X8+X7+ x+X3, the error polynomial is: E(X)-X16+X13X3, and the generator polynomial is: G(X) = X4 + X3 + X + 1. a. What was the original codeword transmitted? Show your answer in polynomial form b. How many bits of errors have occurred? c. What is the size of the burst error? d. Is the receiver able to detect every burst error of this size (obtained in part c)? Explain clearly. 1. (25 points) Assume the codeword transmitted is received as: T(x)X15X13X8+X7+ x+X3, the error polynomial is: E(X)-X16+X13X3, and the generator polynomial is: G(X) = X4 + X3 + X + 1. a. What was the original codeword transmitted? Show your answer in polynomial form b. How many bits of errors have occurred? c. What is the size of the burst error? d. Is the receiver able to detect every burst error of this size (obtained in part c)? Explain clearly