The logic expression for the output of the circuit shown in the figure is

2010

The logic expression for the output of the circuit shown in the figure is

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  1. A.

    A̅C̅ + B̅C̅ + CD

  2. B.

    AC̅ + BC̅ + C̅D

  3. C.

    ABC + C̅D̅

  4. D.

    A̅B̅ + BC̅ + C̅D

  5. E.

    None

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Correct answer: E

The circuit consists of four NOR gates. The top gate outputs A+B complement, which feeds into a second NOR gate with input C to produce C + (A+B) complement. The bottom gate processes C and D to yield C+D complement. The final NOR gate combines these signals, simplifying via De Morgan's laws to C + A'B'D. None of the provided algebraic options match this derived expression.

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