*This question concerns the field GF(16). The modulus is P(x) = x* + x+1. Please answer the following questions about arithmetic in this field. a) If p(x) = x and q(x) = x, what is p(x) + q(x) modulo P? x^2+x b) If p(x) = x + 1 and q(x) = x' + x + 1, what is p(x) + q(x) modulo P? c) If p(x) = x + x +1 and q(x) = x' +x + 1, what is p(x) · q(x) modulo P? d) If p(x) = x + x + x+1 and g(x) = x+ 1, what is p(x) · g(x) modulo P?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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This question concerns the field GF(16). The modulus is P(x) = x* + x + 1.
Please answer the following questions about arithmetic in this field.
a) If p(x) = x and q(x) = x, what is p(x) + g(x) modulo P?
x^2+x
b) If p(x) = x + 1 and q(x) = x +x +1, what is p(x) + q(x) modulo P?
c) If p(x) = x +x+1 and q(x) = x +x + 1, what is p(x) · q(x) modulo P?
%3D
d) If p(x) = x +x + x+1 and q(x) = x+ 1, what is p(x) q(x) modulo P?
Transcribed Image Text:This question concerns the field GF(16). The modulus is P(x) = x* + x + 1. Please answer the following questions about arithmetic in this field. a) If p(x) = x and q(x) = x, what is p(x) + g(x) modulo P? x^2+x b) If p(x) = x + 1 and q(x) = x +x +1, what is p(x) + q(x) modulo P? c) If p(x) = x +x+1 and q(x) = x +x + 1, what is p(x) · q(x) modulo P? %3D d) If p(x) = x +x + x+1 and q(x) = x+ 1, what is p(x) q(x) modulo P?
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