Question

In the following digital circuit, the output 'Y' will be '1' (one) for inputs 'A' and 'B' having values

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

Hint:

Trace each gate: a NOR followed by a NOT, an AND gate, and a final NOR.

Answer 1

The Correct Option is D

Step 1: Truth values gate by gate:
NOR(A, B) = NOR(0, 1) = 0. NOT of that = 1, so $Y_1 = 1$.

Step 2: Remaining gates:
AND(C, D) = AND(0, 1) = 0, so $Y_2 = 0$. The last gate is a NOR of 1 and 0, which gives 0, so $Y_3 = 0$. The answer is (1, 0, 0), option (B).

Final Answer:
(1, 0, 0). \[ \boxed{1,\ 0,\ 0} \]