GATE ECE 2011 | Question: 7

Question

The logic function implemented by the circuit below is (ground implies a logic $\text{“0”})$

• A. $\text{F=AND(P,Q})$
• B. $\text{F=OR(P,Q})$
• C. $\text{F=XNOR(P,Q})$
• D. $\text{F=XOR(P,Q})$

Answer 1

Detailed Video Solution: https://youtu.be/AtqUACtsI2Y 

$I_0 = 0, I_1 = 1, I_2 = 1, I_3 = 0$

So, $F = \overline{P} \bar{Q}(0) + \overline{P} Q(1) + P \overline{Q} (1) + PQ (0) $

$F = \overline{P} Q + P \overline{Q} = XOR(P,Q)$