Create and test a Hamming code for a four bit message 0010. In the Hamming notation,...

 

Transcribed Image Text:

Create and test a Hamming code for a four bit message "0010". In the Hamming notation, these are dubbed bits d1, d2, d3 and d4. a) Compute the parity bits P1, P2, P4 b) Compute the XCHK bit and add it to the end of the message. Assemble the whole 8 bit message. d) Assume no error occurs in receiving the message, evaluate the check bits CHK1, CHK2, CHK4 to show no error occurred. e) Now, assume d4 is received in error - the message received is "0011". Show how the erroneous bit is detected and corrected by computing the CHK1, CHK2, CHK4 bits and the index of the erroneous bit. f) Now flip bits P2 and d4 in the original message. Show how the double bit error is detected and that the PCHK/XCHK table (on slide 30) tells you what action is or is not possible. Create and test a Hamming code for a four bit message "0010". In the Hamming notation, these are dubbed bits d1, d2, d3 and d4. a) Compute the parity bits P1, P2, P4 b) Compute the XCHK bit and add it to the end of the message. Assemble the whole 8 bit message. d) Assume no error occurs in receiving the message, evaluate the check bits CHK1, CHK2, CHK4 to show no error occurred. e) Now, assume d4 is received in error - the message received is "0011". Show how the erroneous bit is detected and corrected by computing the CHK1, CHK2, CHK4 bits and the index of the erroneous bit. f) Now flip bits P2 and d4 in the original message. Show how the double bit error is detected and that the PCHK/XCHK table (on slide 30) tells you what action is or is not possible.