Suppose we want to transmit the message 1011 0010 0100 1011 and protect it from errors using the CRC-8 polynomial x8 + x² + x¹ + 1. (a) Use polynomial long division to determine the message that should be trans- mitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the trans- mission 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
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Suppose we want to transmit the message 1011 0010 0100 1011 and protect it from
errors using the CRC-8 polynomial x8 + x² + x¹ + 1.
(a) Use polynomial long division to determine the message that should be trans-
mitted.
(b) Suppose the leftmost bit of the message is inverted due to noise on the trans-
mission 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 CRC-8 polynomial x8 + x² + x¹ + 1. (a) Use polynomial long division to determine the message that should be trans- mitted. (b) Suppose the leftmost bit of the message is inverted due to noise on the trans- mission 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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