Question: GF(16) is defined like GF(256) except the polynomials all have degree less than 4 and the modulus is x^4 + x +1. Calculate the following,

GF(16) is defined like GF(256) except the polynomials all have degree less than 4 and the modulus is x^4 + x +1. Calculate the following, each digit representing a field element in hexadecimal.

(a) 5+ F

(b) 5 -F

(d) 5/F.

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