The relative frequencies of the vowels in the english language are (approximately) as follows A= 20% E = 32% +0 = 19% 3.0(a). (2 pts) Come up with a variable-width Huffman encoding for these vowels, as wel as an n-bit fixed-width binary encoding (what is n?). Make sure the n-bit label n'b0 is not assigned to any value in the fixed-width encoding 3.0 (b). (3 pts) Draw a state diagram for a Moore FSM decoder that has a one-bit input stream of Huffman encoded vowels, and generates the n-bit binary encoded output when a complete variable-width code has been received, or n'b0 otherwise 3.0(c). (3 pts) Draw a state diagram for a Mealy FSM decoder that has a one-bit input stream of Huffman-encoded vowels, and generates the n-bit binary encoded output when a complete variable-width code has been 3.0(d). (2 pts) Draw the state transition table for the Mealy decoder of part 3.0(c), labeling each state with a binary 3.0(). (5 pts) Implement the Mealy decoder of part 3.0(c) using a D-register to hold the current state, a D-register received, or n'b0 otherwise value. to gate the input, and muxes to generate the next state and output values