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...

Extracted 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.