From the encoding table as shown below: Symbol Frequency Codeword A $1050$ B $50100$ C $65101$ D $601100$ E $111101$ F $61110$ G $31111$ Table $1$ a$)[1]$ Build the prefix tree according to the Table $1$ above. b$)[3\mathrm{.}5]$ Use Huffman code to assign new codewords to the symbols $($A$-$G$)$ above. Follow the convention that the group$/$symbol with higher probability is assigned a $0$ and that with lower probability is assigned a $1.$ List out all the codewords in Table $2.$