a) If p(x) = x² + x² + s ²+x+1, and g(x) = x² + : b) If p(x) = x² + x³ + x² + x + 1, and g(x) = x² + x¹ + x² + 1, what is p(x)/q(x)? + x + 1, what is p(x)/q(x)?
a) If p(x) = x² + x² + s ²+x+1, and g(x) = x² + : b) If p(x) = x² + x³ + x² + x + 1, and g(x) = x² + x¹ + x² + 1, what is p(x)/q(x)? + x + 1, what is p(x)/q(x)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
- Please provide me with the correct answer. Thank you
![**GF(256) Arithmetic Problems**
This question concerns the field \(GF(256)\). The modulus is \(P(x) = x^8 + x^4 + x^3 + x + 1\).
*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 \(p(x) = x^7 + x^4 + x^2 + x + 1\), and \(q(x) = x^7 + x^5 + x^4 + x^3 + x^2 + x + 1\), what is \(p(x)/q(x)\)?
\[ \text{[Answer box here]} \]
b) If \(p(x) = x^4 + x^3 + x^2 + x + 1\), and \(q(x) = x^7 + x^4 + x^2 + 1\), what is \(p(x)/q(x)\)?
\[ \text{[Answer box here]} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0df1c0b0-b4ad-4587-b889-d681e7a71c10%2Fa26ad5fb-c3a1-452e-b839-2657d3cfd50f%2Fzx0m2q_processed.png&w=3840&q=75)
Transcribed Image Text:**GF(256) Arithmetic Problems**
This question concerns the field \(GF(256)\). The modulus is \(P(x) = x^8 + x^4 + x^3 + x + 1\).
*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 \(p(x) = x^7 + x^4 + x^2 + x + 1\), and \(q(x) = x^7 + x^5 + x^4 + x^3 + x^2 + x + 1\), what is \(p(x)/q(x)\)?
\[ \text{[Answer box here]} \]
b) If \(p(x) = x^4 + x^3 + x^2 + x + 1\), and \(q(x) = x^7 + x^4 + x^2 + 1\), what is \(p(x)/q(x)\)?
\[ \text{[Answer box here]} \]
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