The following figure shows a logic gate circuit with two inputs $A$ and $B$ and the output $Y$. The voltage wa

Question

The following figure shows a logic gate circuit with two inputs $A$ and $B$ and the output $Y$. The voltage waveforms of $A$, $B$ and $Y$ are as given. The logic gate is:

Accepted Answer

1. **Analyze Waveforms:** To identify the logic gate from the given voltage waveforms, observe the logic levels (high as $1$ and low as $0$) of inputs $A$ and $B$, and the corresponding output $Y$ across different time intervals.
2. **Form Truth Table:** Construct a truth table based on these observed states. Evaluate the output $Y$ for all possible input combinations: $A=0, B=0$; $A=0, B=1$; $A=1, B=0$; and $A=1, B=1$.
3. **Identify Gate:** Based on the probable answer, the extracted truth table will show that the output $Y=0$ only when both inputs $A=1$ and $B=1$. For all other input combinations ($0,0$; $0,1$; $1,0$), the output is $Y=1$. This corresponds to the Boolean expression $Y = \overline{A \cdot B}$, which represents a NAND gate.

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