This is a probabilistic system analysis problem. Please show clear legible work for this one. Use MATLAB for part A and provide the code typed out.

1. The parity generator matrix for a Hamming (8,4) code is given by To 11 11 110 11 You may use MATLAB for this problem if you like. If you do, provide a print out of your well commented code and a printout of any and all output the code produces Label the top of each sheet as you would any problem done in the homework format. G= 1 1 0 1 1 1 1 0 (a) Compute the distance between all pairs of code words and show the distance of the code is 4. You may use MATLAB to do this. (b) Show that the difference between any pair of code words is a code word. 1. The parity generator matrix for a Hamming (8,4) code is given by To 11 11 110 11 You may use MATLAB for this problem if you like. If you do, provide a print out of your well commented code and a printout of any and all output the code produces Label the top of each sheet as you would any problem done in the homework format. G= 1 1 0 1 1 1 1 0 (a) Compute the distance between all pairs of code words and show the distance of the code is 4. You may use MATLAB to do this. (b) Show that the difference between any pair of code words is a code word