Question:medium

The output (X) of the logic circuit shown in figure will be

Updated On: Apr 21, 2026
  • $ X= \overset{=}{A}.\overset{=}{B}$
  • $X=\overset{-}{A.B}$
  • $X=A.B$
  • $ X=\overset{-}{A.B}$
Show Solution

The Correct Option is C

Solution and Explanation

To solve the problem, we need to analyze the logic circuit described and determine its output, which is labeled as X. However, since no specific figure is provided here, we'll conduct a general analysis based on the options given. The task involves deciding which logical operation is represented in the options.

  1. Understanding the Options:
    • X = \overset{=}{A}.\overset{=}{B}: This indicates that both A and B are inverted before being passed through an AND gate.
    • X = \overset{-}{A.B}: This suggests the NOT operation is applied after A and B are passed through an AND gate.
    • X = A.B: This indicates a simple AND operation between A and B without inversion.
    • X = \overset{-}{A.B}: The notation is repeated but suggests an OR NOT operation, depending on context it might have been intended as an error repeat in the list, similar to the second option.
  2. Analyzing the Correct Answer:
    • The correct answer is given as X = A.B, meaning that the circuit outputs the logical AND of inputs A and B.
    • This operation implies no inverters are involved before or after the AND operation between A and B.
  3. Conclusion:
    • The logic circuit effectively performs an AND operation on the given inputs A and B to produce the output X. The output is only true when both A and B are true, aligning with the basic truth table of an AND gate.
    • Since realistic electronic questions often test fundamentals like AND, OR, and NOT gates, the basic understanding reinforces typical comprehension for exam preparation.

Thus, the correct answer is confirmed to be X = A.B.

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