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AP EAMCET20224 Jul 2022Morning ShiftPhysicsSemiconductorsActual

Output of following logic circuit is

Options

  1. AA ¯ + B + A ¯ + C ¯ + B + C ¯
  2. BA + B ¯ · A + C · B ¯ + C ¯
  3. CA ¯ + B · A ¯ + C ¯ · B + C ¯
  4. DA ¯ + B - A ¯ + C ¯ - B + C ¯

Correct answer

C. A ¯ + B · A ¯ + C ¯ · B + C ¯

Step-by-step solution

In the given circuit, the outputs of all three O R gates is given to the input of A N D gate. Inputs to the first O R gate are A ¯ and B as a N O T gate in between the input from A . Similarly, inputs to second O R gate are A ¯ and C ¯ . And to third O R , inputs are B and C ¯ . We know the output of an O R gate is the sum of inputs. Then, the outputs of the three O R gates are A ¯ + B , A ¯ + C ¯ and B + C ¯ . Now, we know that the output of the A N D gate is the multiplicat

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