A Hamming error coding system comprises of a transmitter (TX) and a receiver (RX). The TX encodes 4 data bits (b1 to b4) into 7 bit codes (ci to c7), before transmitting to the RX. Where bits ci to c4 are the same as bits b1 to b4, C5 = b1 b2 O b3 C6 = b1 e b3 b4 C7 = b2 e b3 b4 %3D i) State the Boolean functions for the three parity bits in the RX, used to determine whether a received code has been corrupted by noise. ii) Using the parity functions determine the original encoded data transmitted by the TX if the code 1000101B was received at the RX.

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A Hamming error coding system comprises of a transmitter (TX) and a
receiver (RX). The TX encodes 4 data bits (bı to b4) into 7 bit codes (cı to c7),
before transmitting to the RX.
Where
bits c1 to C4 are the same as bits b1 to b4,
C5 = b1 e b2 O b3
C6 = b1 b3 b4
C7 = b2 e b3 O b4
i) State the Boolean functions for the three parity bits in the RX, used to
determine whether a received code has been corrupted by noise.
ii) Using the parity functions determine the original encoded data transmitted
by the TX if the code 1000101B was received at the RX.
Transcribed Image Text:A Hamming error coding system comprises of a transmitter (TX) and a receiver (RX). The TX encodes 4 data bits (bı to b4) into 7 bit codes (cı to c7), before transmitting to the RX. Where bits c1 to C4 are the same as bits b1 to b4, C5 = b1 e b2 O b3 C6 = b1 b3 b4 C7 = b2 e b3 O b4 i) State the Boolean functions for the three parity bits in the RX, used to determine whether a received code has been corrupted by noise. ii) Using the parity functions determine the original encoded data transmitted by the TX if the code 1000101B was received at the RX.
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