What is the logic function of F implemented by the circuit below?

Question

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Understanding the circuit requires identifying how A and B influence F.
Option 1: A XOR B. This would produce a output of 1 when exactly one of A or B is 1. In the given circuit, the path and gating do not implement an exclusive-or behavior; instead, the structure shows a combination that allows F to be high when B is 1 regardless of A in some conditions, which does not match XOR.
Option 2: not(A) + B. This expression means F is true when A is 0 or B is 1 (or both). Analyzing the circuit: there is a path that can pull F high via B’s influence when B is 1, and there is a gating that can keep F high even if A is 0, due to the arrangement of transistors and the bubble indicating inversion on A’s control. Therefore this option aligns with the observed behavior of F in the diagram.
Option 3: not(A)B. This is equivalent to (~A) AND B, meaning F would be 1 only when A is 0 and B is 1. If the circuit allowed F to be 1 when B is 1 but A is also 1, this option would be incorrect. The diagram’s connectivity suggests F can be high under more than the single condition of ~A and B, so this is too restrictive.
Option 4: A + B. This is OR of A and B, giving F = 1 whenever either input is 1. While plausible in some circuits, the specific transistor arrangement with the inversion bubble on A’s control indicates that F does not simply follow A OR B; there are conditions where F remains low even if A is 1, depending on B. Thus this option overstates F’s dependence on A alone.
Option 5: A XNOR B. This would produce F = 1 when A and B are equal. The circuit’s structure with a single inversion on A and the observed connection to F does not implement equality checking between A and B; the behavior corresponds more closely to the form not(A) + B instead of equality.
Thus, by comparing the logical implications of each candidate with the actual transistor arrangement and the inversion shown, the expression that best matches the circuit’s functionality is not(A) + B.

FA25 ECE 555 001 Final

What is the logic function of F implemented by the circuit below?

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