A signal source has 6 states A, B, C F, which have the probabilities given in Table 2.

a) A set of proposed code words to encode the source are shown in the third column of Table 2. Calculate the efficiency of this proposed code and comment on the result.

b) Construct a Huffman code for the source and evaluate its efficiency. You must show your wording and list the code words.

c) Explain briefly how a valid coding, even more efficient than that derived in part (b), could be constructed.

\begin{tabular}{|c|c|c|} \hline State & Probability & Proposed Code Word \\ \hline A & 0.32 & 0 \\ \hline B & 0.23 & 1 \\ \hline C & 0.19 & 00 \\ \hline D & 0.16 & 01 \\ \hline E & 0.06 & 10 \\ \hline F & 0.04 & 11 \\ \hline \end{tabular}