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WBJEE · Physics · Semiconductors



Consider the logic circuit with inputs A, B, C and output \(Y\). How many combinations of \(A, B\) and \(C\) gives the output \(Y=0\) ?

  1. A 8
  2. B 5
  3. C 7
  4. D 1
Verified Solution

Answer & Solution

Correct Answer

(C) 7

Step-by-step Solution

Detailed explanation

Hint : \(\begin{aligned} & \overline{(A+\overline{B})+\overline{C}}=\overline{A+\overline{B}} \cdot C=(\overline{A} \cdot B \cdot C) \\ & \therefore y=1 \\ & \text { if } A=0, B=1, C=1 \end{aligned}\) For rest of all cases \(Y=O\) Total cases \(=8\) \(\therefore\) Ans \((8-1)=7\)