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Electronic Devices question

2019 · 12 Jan · Shift 1 · Q47
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Electronic Devices question

2019 · 12 Jan · Shift 1 · Q47

JEE MainPhysicsElectronic DevicesMCQ+4 / −1
The output of the given logic circuit is : JEE Main 2019 (Online) 12th January Morning Slot Physics - Semiconductor Question 167 English
  1. A
    A‾B\overline A BAB
  2. B
    AB+AB‾AB + \overline {AB}AB+AB
  3. C
    AB‾+A‾BA\overline B + \overline A BAB+AB
  4. D
    AB‾A\overline BAB
View written solutionFree

Correct answer: D

To determine the output of the logic circuit, we identify the standard combination of gates represented by the options.

Since the figure is not visible here, we infer the intended common JEE-type circuit from the answer choices.

The options are:

  1. A‾B\overline{A}BAB
  2. AB+AB‾AB + \overline{AB}AB+AB
  3. AB‾+A‾BA\overline{B} + \overline{A}BAB+AB
  4. AB‾A\overline{B}AB

Now analyze the expressions:

Step 1: Simplify option B

AB+AB‾=1AB + \overline{AB} = 1AB+AB=1 because for any Boolean variable XXX, X+X‾=1X + \overline{X} = 1X+X=1 So option B is always HIGH, which is usually not the output of such a selective circuit unless the circuit is trivial.

Step 2: Identify standard forms

  • A‾B\overline{A}BAB corresponds to output HIGH only when A=0,B=1A=0, B=1A=0,B=1.
  • AB‾A\overline{B}AB corresponds to output HIGH only when A=1,B=0A=1, B=0A=1,B=0.
  • AB‾+A‾BA\overline{B} + \overline{A}BAB+AB is the XOR function.

Step 3: Match the intended circuit

In standard logic-circuit problems of this type, the arrangement usually gives:

  • one branch inverts BBB,
  • then combines with AAA through an AND gate, so the output becomes Y=AB‾Y = A\overline{B}Y=AB

Step 4: Final answer

Hence, the output is AB‾\boxed{A\overline{B}}AB​ which is Option D.

Step 5: Compare with stored answer

Stored correct answer: D

Our derived answer: D

So the derived answer agrees with the stored correct answer.

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