A given processor has 32 registers, uses 16 -bit immediate values, and has 200 instructions in its ISA. In a given program, 20% of the instructions take one input and one output register, 30% take two input and one output register; 25% take one input and one output register and an immediate input as well, and the remaining 25% take one immediate input and one output register. a) For each of the four types of instructions, how many bits are required to encode it? b) For each of the four types of instructions, round up the result to nearest byte. c) How much less memory would the program take up if a variable length instruction set encoding is used as opposed to a fixed-length encoding