1. Given the following input alphabet and corresponding frequencies (expressed as prob- abilities): Symbol Frequency 0.50 0.26 0.12 0.06 0.06 DEO (a) Build the corresponding binary Huffman code. (b) Compute the expected bits per symbol for this binary Huffman code. Remember that this is weighted by the probability of occurrence of each symbol. (c) Build the corresponding ternary Huffman code. (d) Compute the expected trits per symbol for this ternary Huffman code. (e) Convert the expected trits to expected bits per symbol by multiplying your previous answer by 1.585