Suppose we want to transmit the message 1011 0010 0100 1011 and protect it from errors using the CRC8 polynomial x8 + x² + x¹ +1. (a) Use polynomial long division to determine the message that should be transmitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the transmission link. What is the result of the receiver's CRC calculation? How does the receiver know that an error has occurred?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Suppose we want to transmit the message 1011 0010 0100 1011
and protect it from errors using the CRC8 polynomial
x³ + x² + x¹ + 1.
8
(a) Use polynomial long division to determine the message that
should be transmitted.
(b) Suppose the leftmost bit of the message is inverted due to
noise on the transmission link. What is the result of the
receiver's CRC calculation? How does the receiver know that
an error has occurred?
Transcribed Image Text:Suppose we want to transmit the message 1011 0010 0100 1011 and protect it from errors using the CRC8 polynomial x³ + x² + x¹ + 1. 8 (a) Use polynomial long division to determine the message that should be transmitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the transmission link. What is the result of the receiver's CRC calculation? How does the receiver know that an error has occurred?
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