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    Identify the Boolean Gate which represents the following truth table: A B Output 0 0
    Question

    Identify the Boolean Gate which represents the following truth table:
    A
    B
    Output
    0
    0
    1
    0
    1
    1
    1
    0
    1
    1
    1
    0

    A.

    XOR

    B.

    NOR

    C.

    NAND

    D.

    OR

    Correct option is C


    The given truth table represents the NAND (NOT AND) gate. Let's analyze the truth table:

    A
    B
    Output
    0
    0
    1
    0
    1
    1
    1
    0
    1
    1
    1
    0
    The output is 1 for all inputs except when both A and B are 1. This is the behavior of the NAND gate, which is the negation of the AND gate. The AND gate produces 1 only when both inputs are 1, but the NAND gate inverts that result, making it 0 only when both inputs are 1.
    Important Key Points:
    1. NAND Gate: The output is 1 for all combinations of inputs except when both are 1. The NAND gate performs the negation of the AND operation.
    2. Truth Table for NAND:
    · When A = 0 and B = 0: Output = 1
    · When A = 0 and B = 1: Output = 1
    · When A = 1 and B = 0: Output = 1
    · When A = 1 and B = 1: Output = 0
    Knowledge Booster:
    · Option (a): XOR: The XOR (Exclusive OR) gate gives output 1 when exactly one of the inputs is 1, but this truth table does not match the XOR behavior.
    · Option (b): NOR: The NOR gate gives output 1 only when both inputs are 0. This truth table does not match that behavior.
    · Option (d): OR: The OR gate gives output 1 when at least one input is 1. This truth table differs from the behavior of the OR gate.

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