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MHT CET · Physics · Semiconductors

The Boolean equation for the circuit given in the figure is

  1. A Y=A+B¯
  2. B Y=A+B¯
  3. C Y=A¯+B
  4. D Y=A¯+B¯
Verified Solution

Answer & Solution

Correct Answer

(C) Y=A¯+B

Step-by-step Solution

Detailed explanation


In the above diagram, we have the combination of NOT gate and OR gate.
For NOT gate
\(X=\bar{A}\)
For OR gate
\(Y=X+B\)
\(\Rightarrow Y=\bar{A}+B \quad[\) Using \((1)]\)
Hence, the output expression of the given arrangement of gates is \((\bar{A}+B)\).