Question:

If in a logic gate output \(Y\) is obtained by the product of its both inputs \(A \cdot B\), then the gate is:

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AND gate performs logical multiplication of inputs.
  • AND
  • OR
  • NOR
  • NOT
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The Correct Option is A

Solution and Explanation

An AND gate is a digital logic gate that outputs a high signal (1) only when all its inputs are high. For two inputs \( A \) and \( B \), the output \( Y \) is given by the logical product (AND) of the inputs: \[ Y = A \cdot B, \] which means \( Y = 1 \) only if both \( A = 1 \) and \( B = 1 \); otherwise, \( Y = 0 \). This behavior is fundamental in digital circuits for decision-making operations.
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