Question: Midtermian archeologists uncovered what seems to be a primitive computer used by the ancient Midtermians. This computer appears to run on a 6-bit system for

Midtermian archeologists uncovered what seems to be a primitive computer used by the ancient Midtermians. This computer appears to run on a 6-bit system for representing integers, using the standard two's complement representation.

Answer the following questions about this integer representation system:

  1. What is the representation of the decimal number -6 in this system?
  2. What is the largest positive decimal number that can be represented in this system?
  3. What is the 6-digit binary representation of this number, within the system?
  4. What is the smallest negative (furthest from 0) decimal number that can be represented in this system?
  5. What is the 6-digit binary representation of this number, within the system?

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