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NEETPhysicsSemiconductors

A logic circuit provides the output Y as per the following truth table : array |c|c|c| A & B & Y 0 & 0 & 0 0 & 1 & 1 1 & 0 & 0 1 & 1 & 0 array Which of the following logic gate arrangements corresponds to this truth table?

Options

  1. AInput A is connected to a NOT gate, and its output is fed to an AND gate along with input B .
  2. BInput B is connected to a NOT gate, and its output is fed to an AND gate along with input A .
  3. CInputs A and B are fed to an AND gate, and its output is connected to a NOT gate.
  4. DInput A is connected to a NOT gate, and its output is fed to an OR gate along with input B .

Correct answer

A. Input A is connected to a NOT gate, and its output is fed to an AND gate along with input B .

Step-by-step solution

From the given truth table, the output Y is 1 only when A = 0 and B = 1 . This means the Boolean expression for the output is Y = A B . To realize this expression using basic logic gates, input A must first be inverted using a NOT gate (giving A ), and then this inverted signal must be combined with input B using an AND gate. Therefore, the correct arrangement is: Input A is connected to a NOT gate, and its output is fed to an AND gate along with input B . Answer: Input A is connected to a NOT gate, and its output

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