Question: (1 point) This question concerns the field GF(256). The modulus is P(x) = x + 24 +2 +3 +1. Please answer the following questions about

(1 point) This question concerns the field GF(256). The modulus is P(x) = x + 24 +2 +3 +1. Please answer the following questions about arithmetic in this field. a) If p(x) = x + x + x +1, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). b) If p(x) = 27 +24 + x2 +1, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). c) Consider the hex byte 0x15. What is the corresponding element of GF (256) (as a polynomial)? d) Consider the hex byte Oxdb. What is the corresponding element of GF (256) (as a polynomial)? Note: You can earn partial credit on this
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