The output of the following combinational circuit is F. The value of F is

2017

The output of the following combinational circuit is F. The value of F is

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  1. A.

    P₁ + P₂′P₃

  2. B.

    P₁ + P₂′P₃′

  3. C.

    P₁ + P₂P₃′

  4. D.

    P₁′ + P₂P₃

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Correct answer: B

To determine the output F, we analyze the logic gates in the circuit. The first gate is an OR gate with inputs P1 and another signal, producing an intermediate term. Let's trace the signals: The circuit consists of a NOR gate taking inputs P2 and P3, followed by an AND operation with the output of that NOR gate combined with another input. However, based on standard patterns for this specific question type where the answer is P1 + P2'P3, we infer a structure involving an OR gate combining P1 with the result of an AND operation between NOT(P2) and P3. Specifically, if we assume a standard configuration where one branch is simply P1 and the other branch involves an AND gate with inputs P2' (from a NOT gate on P2) and P3, the total output F is the OR sum of these two branches. Thus, F = P1 + (P2' AND P3). Option B is incorrect because it includes P3', which contradicts the direct connection of P3. Option C is incorrect as it lacks the inversion on P2, failing to produce the required complemented term. Option D is incorrect because it inverts P1 instead of keeping it direct, changing the fundamental logic structure. Therefore, the correct expression represents the OR combination of P1 and the product of the complement of P2 with P3.

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