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    Find the Boolean expression for the given logic gate circuit diagram where inputs are A and B.
    Question

    Find the Boolean expression for the given logic gate circuit diagram where inputs are A and B.

    A.

    AB\overline{AB}​​

    B.

    ABAB​​

    C.

    A+B\overline{A+B}​​

    D.

    A+BA+B​​

    Correct option is B

    Y=A.B+ABY=A.B.ABY=ABAB(XX=X)Y=AB\begin{aligned}Y &= \overline{\overline{A.B} + \overline{AB}} \\[4pt]Y &= \overline{\overline{A.B} . \overline{AB}} \\[4pt]Y &= AB \cdot AB \quad (\because X \cdot X = X) \\[4pt]Y &= AB\end{aligned}​​

    Information Booster:

    • AND Gate: This gate outputs 1 only when both inputs are 1. For inputs A and B, the output is AB.

    • NOT Gate: The NOT gate (inverter) reverses the output of the AND gate, but the final output remains AB in this case.

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