The output of the circuit is low (zero) for : (A) X=0,Y=0 (B) X=0,Y=1 (C) X=1,Y=0 (D) X=1,Y=1
Choose the correct answer from the options given below :
(A)(A), (C) and (D) only
(B)(A), (B) and (C) only
(C)(B), (C) and (D) only✓ Correct
(D)(A), (B) and (D) only
Answer: (C)
Solution
Working through the given combination of logic gates for each input pair and tabulating the output:
X
Y
Output
0
0
1
0
1
0
1
0
0
1
1
0
The overall circuit therefore behaves as a NOR gate on inputs X and Y: the output is high only when both inputs are 0, and low for every other combination.
The output is low (zero) for the input pairs (B) X=0,Y=1; (C) X=1,Y=0; and (D) X=1,Y=1 — so the output is low for (B), (C) and (D) only.
JEE Main · 2025 · 24 Jan 2025 · Shift 2 · Single correct option
