A cyclic redundancy check (CRC) error detection scheme is constructed to generate a 4-bit frame check sequence (FCs) for an 11-bit message. The generator polynomial, P(x) = x* + x +1 (i.e., P = поо). 1) Encode the data bit sequence M(x) = x° + +1 (i.e., M= 000011001) using the generator polynomial and state the codeword. 2) Show that the error detection scheme at the receiver can detect the received codeword and contain no error.

A cyclic redundancy check (CRC) error detection scheme is constructed to generate a 4-bit frame check sequence (FCs) for an 11-bit message. The generator polynomial, P(x) = x* + x +1 (i.e., P = поо). 1) Encode the data bit sequence M(x) = x° + +1 (i.e., M= 000011001) using the generator polynomial and state the codeword. 2) Show that the error detection scheme at the receiver can detect the received codeword and contain no error.

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

Problem 1PE

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Question

A cyclic redundancy check (CRC) error detection scheme is constructed to generate a 4-bit frame
check sequence (FCs) for an 11-bit message. The generator polynomial, P(x) = x* + x +1 (i.e., P =
поо).
1) Encode the data bit sequence M(x) = x° +
+1 (i.e., M= 000011001) using the generator
polynomial and state the codeword.
2) Show that the error detection scheme at the receiver can detect the received codeword and
contain no error.

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