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Given a machine with 2K of memory and 32 registers, is it possible to build a 20 bit instruction set meeting the following parameters? 25

  • Given a machine with 2K of memory and 32 registers, is it possible to build a 20 bit instruction set meeting the following parameters?
    • 25 instructions w/ two register operands (e.g., COPY R1, R2)
    • 5 instructions w/ one register and one memory address (e.g., Load R1, X)
    • 20 instructions w/ one memory address operand (e.g., OUTPUT X)
    • 50 instructions w/ no operand (e.g., HALT)
  • If it is possible, show the expanding opcodes that would allow it.

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