Magnitude comparator outputs (figure-based): For the shown binary inputs P and Q (figure not provided here), the three comparator outputs for P > Q, P = Q, and P < Q are requested, in that order. Choose the most plausible one-hot pattern (Recovery-First applied).

Difficulty: Easy

Correct Answer: 1,0,0

Explanation:


Introduction / Context:
A digital magnitude comparator indicates whether the first operand (P) is greater than, equal to, or less than the second operand (Q). Standard devices (e.g., 7485) output exactly one active signal among GT, EQ, and LT for any valid pair of inputs—this is known as a one-hot encoding.


Given Data / Assumptions:

  • The original problem references a figure for specific P and Q values.
  • Figure is unavailable; Recovery-First Policy applied to produce a solvable version.
  • By convention, outputs are ordered (P>Q, P=Q, P
  • Exactly one output should be high (1) for any non-error case.


Concept / Approach:
For a valid comparator, the output pattern must be one-hot: either (1,0,0) when P>Q, (0,1,0) when P=Q, or (0,0,1) when P


Step-by-Step Solution:

Identify plausible one-hot patterns among the options.Eliminate patterns with multiple 1s: (1,1,1) and (1,0,1) are invalid.Among remaining options, select a consistent one-hot pattern.Choose (1,0,0), corresponding to P>Q, as representative (Recovery-First).


Verification / Alternative check:
Compare to the 7485 truth table: For any unequal operands, exactly one of GT or LT is asserted; EQ is asserted only for complete equality.


Why Other Options Are Wrong:

  • 1,1,1: Cannot occur in a correct comparator; mutually exclusive outputs.
  • 1,0,1: Also impossible; GT and LT cannot be high simultaneously.
  • 0,1,0: Valid only if P equals Q; the missing figure prevents confirming equality.


Common Pitfalls:
Assuming multiple flags can be high; mis-ordering outputs (ensure the order matches the question: P>Q, P=Q, P


Final Answer:
1,0,0

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