a) Apply the following operations on the corresponding polynomials: [5]
i) (x³+x²+x+1)+(x⁴+x²+x+1)
ii) (x³+x² + x + 1)/(x²+1)

b) CRC-16 (x¹⁶ + x¹² + x⁵ + 1) is a standard polynomial which is being used in the HDLC protocol. Now, convert this polynomial into its équivalent binary form. [2]

In CRC, if the dataword is 5 bits and the codeword is 8 bits, how many 0s need to be added to the dataword to make the dividend? What is the size of the remainder? What is the size of the divisor?

Given the dataword 101001111 and the divisor 10111, show the generation of the CRC codeword at the sender site (using binary division). Also show the procedure of accepting or rejecting this at the receiver site.

In a noisy channel, Selective Repeat ARQ protocol can solve the problems what other ARQ protocols (stop and Wait ARQ, Go-back-N ARQ) may face. What is that problem and how it can solve this? and explain this selective repeat ARQ protocol with a proper diagram and examples.