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Identify the correct truth table of the given logic circuit. [Figure: A feeds an AND gate with both inputs tied. A and B also feed a NAND gate, whose output feeds another AND gate with both inputs tied. The two tied-AND outputs feed a final AND gate giving Y. Options list Y for AB=00,01,10,11: (a) 0, 0, 1, 0; (b) 0, 1, 1, 0; (c) 1, 0, 1, 0; (d) 1, 1, 1, 0.]

Asked in JEE Main 24th Jan 2nd Shift 2026 · Gate combinations and truth tables

• (1) 0, 0, 1, 0
• (2) 0, 1, 1, 0
• (3) 1, 0, 1, 0
• (4) 1, 1, 1, 0

Step-by-step solution

Why the other options are wrong

• (2) This is XOR; the circuit does not respond to B alone.
• (3) This is B; it ignores the A factor.
• (4) This is NAND; it ignores the A factor.

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