Logic Gates question from JEE Main 2026 (22 Jan, Shift 2)

Answer: (a)

1. AND then NOT gives $\overline{AB}$; OR gives $C + D$.
2. Final AND then NOT: $Y = \overline{\overline{AB}\cdot(C+D)} = AB + \overline{C+D}$.
3. Rows: $1101$: $AB = 1 \Rightarrow Y = 1$; $0011$: $AB = 0,\ C+D = 1 \Rightarrow Y = 0$.
4. $1010$: $AB = 0,\ C+D = 1 \Rightarrow Y = 0$; $1111$: $AB = 1 \Rightarrow Y = 1$.
5. Output column $1, 0, 0, 1$. So the answer is (a).