This question concerns the field GF(256). The modulus is P(x) = x³ + x* + x³ + x + 1. For computing inverses in this field, you should use the table in the textbook. Please answer the following questions about arithmetic in this field. a) If p(x) = x' + x° + x² + x, and q(x) = x + x* + 1, what is p(x)/q(x)? %3D b) If p(x) = x' + x° + x° + x+ + x³ + x² + x + 1, and q(x) = x' + x°, what is p(x)/q(x)?

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This question concerns the field GF(256). The modulus is P(x) = x° + x + x³ +x + 1.
For computing inverses in this field, you should use the table in the textbook.
Please answer the following questions about arithmetic in this field.
a) If p(x) = x' + x° + x² + x, and q(x) = x + x* + 1, what is p(x)/q(x)?
b) If p(x) = x' + x° + x° + x* + x³ + x² + x + 1, and q(x) = x' + x°, what is p(x)/q(x)?
Transcribed Image Text:This question concerns the field GF(256). The modulus is P(x) = x° + x + x³ +x + 1. For computing inverses in this field, you should use the table in the textbook. Please answer the following questions about arithmetic in this field. a) If p(x) = x' + x° + x² + x, and q(x) = x + x* + 1, what is p(x)/q(x)? b) If p(x) = x' + x° + x° + x* + x³ + x² + x + 1, and q(x) = x' + x°, what is p(x)/q(x)?
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