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.
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.
Chapter8: Data And Network Communication Technology
Section: Chapter Questions
Problem 10VE
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