(Solved): Please use the knowledge (including finite field GF(2^(8)), extended Euclidean algorithm, polynomial ...

Please use the knowledge (including finite field GF(2^(8)), extended Euclidean algorithm, polynomial division, affine transformation) we learn from lectures, and explain why, given an input 0xx44, the output of AES S-box is 0x1 b. Please make sure you provide the details of the calculation. You will not receive points if your answer is too brief.