A given processor has 32 registers, uses 16-bit immediate numbers and has 142 instructions in its ISA. In a given program: • 20 % of the instructions take 1 input register and have 1 output register, • 30 % have 2 input registers and 1 output register, • 25 % have 1 input register, 1 output register and take an immediate input as well, • and the remaining 25 % have one immediate input and 1 output register. a) For each of the 4 types of instructions, how many bits are required? Assume that the ISA requires that all instructions be a multiple of 8 bits in length. b) How much less memory does the program take up if variable-length instruction set encoding is used as opposed to fixed-length encoding?

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A given processor has 32 registers, uses 16-bit immediate numbers and has 142 instructions in its ISA. In a given program:
• 20 % of the instructions take 1 input register and have 1 output register,
• 30 % have 2 input registers and 1 output register,
• 25 % have 1 input register, 1 output register and take an immediate input as well,
• and the remaining 25 % have one immediate input and 1 output register.
a) For each of the 4 types of instructions, how many bits are required? Assume that the ISA requires that all
instructions be a multiple of 8 bits in length.
b) How much less memory does the program take up if variable-length instruction set encoding is used as
opposed to fixed-length encoding?

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