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For the combination of logic gates shown...

For the combination of logic gates shown in the figure, the equivalent logic gate is

A

AND

B

NOT

C

NAND

D

NOR

Text Solution

Verified by Experts

The correct Answer is:
D

`Y_(1) = A + B, Y_(2) = A + B`, as gate 1 and 2 are OR gates.
As gate 3 is NAND gate, its output will be
`Y = bar(Y_(1)Y_(2)) = bar(Y_(1)) + bar(Y_(2)) = bar(A +B.A + B)`
`= bar(A +B) + bar(A +B) = bar(A +B)`
Using De-Morgan.s theorem and identity `A + A =A`.
So, given output is that of NOR gate.
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Knowledge Check

  • The logic symbol shown in figure represents

    A
    OR gate
    B
    XOR gate
    C
    NAND gate
    D
    NOR gate

  • The output (X) of the logic circuit shown in figure will be

    A
    `X= barbar(A).barbar(B)`
    B
    `X=bar(A.B)`
    C
    X = A.B
    D
    `X= bar(A+B)`

  • The truth table for the given logic circuit is

    A
    B
    C
    D

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