Question

The output Y of the following digital logic circuit will be '1' (one) for the inputs

• A. \(A = 1\) , \(B = 0\) , \(C = 0\)
• B. \(A = 1\) , \(B = 0\) , \(C = 1\)
• C. \(A = 1\) , \(B = 1\) , \(C = 0\)
• D. \(A = 1\) , \(B = 1\) , \(C = 1\)

Hint:

Y = (NOT A) OR (B AND C).

Answer 1

The Correct Option is D

Step 1: Trace the signals:
With $A = 1$ in all four options, the NOT gate output is always 0, so the OR gate output equals the AND gate output.

Step 2: AND gate output:
$B\cdot C$ is 1 only if $B = 1$ and $C = 1$.

Step 3: Pick:
Only option (D) has both $B$ and $C$ equal to 1.

Final Answer:
Option (D) gives Y = 1. \[ \boxed{A=1,\ B=1,\ C=1} \]