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.

Systems Architecture
7th Edition
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Stephen D. Burd
Chapter8: Data And Network Communication Technology
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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.
Transcribed Image Text: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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