Logic Gates

We are given the following input cases:
- Case (a):
- Case (b):

Now, let's analyze the behavior of different logic gates for these inputs:

1. OR gate:
- For ,
- For ,
Thus, the OR gate gives an output of for both cases.

2. AND gate:
- For ,
- For ,
The AND gate gives an output of for both cases.

3. NAND gate:
- For ,
- For ,
The NAND gate gives an output of for both cases.

Thus, the gates that give for both cases are the OR and NAND gates, which corresponds to option (B).

Step 1: Define an Inverter

In digital electronics, an inverter is a device that outputs the opposite logic state of its input. If the input is HIGH (1), the output is LOW (0), and vice versa.

Step 2: Analyze the NOT gate

The NOT gate is a single-input, single-output gate that follows the Boolean logic .

[Image of NOT gate symbol and truth table]

Step 3: Check the Truth Table

Step 4: Conclusion

Since the NOT gate "negates" or "inverts" the input signal, it is fundamentally an inverter.