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Question:

In the circuit shown in the figure identify the equivalent gate of the circuit and make its truth table.

Solution:

The three gates in the circuit are NAND gate. So, the output are as shown in figure. Here Y = ¬A'.B' = ¬¬A.¬B = ¬¬A + ¬¬B = A + B (by de Morgan theorem) Hence, the equivalent gate will be OR gate and the truth table is shown in figure.