Given truth table is related with :-
`{:(A,B,Y),(1,1,0),(0,1,1),(1,0,1),(0,0,1):}`

Options

A. NOT gate
B. OR gate
C. XOR gate
D. NAND gate

Answer

To determine which gate the given truth table represents, we can analyze the provided values step by step.

### Step 1: Understand the Truth Table
The truth table provided is as follows:
- A = 1, B = 1, Y = 0
- A = 0, B = 1, Y = 1
- A = 1, B = 0, Y = 1
- A = 0, B = 0, Y = 1

Here, A and B are the inputs, and Y is the output.

### Step 2: Identify Output Patterns
Now, let's analyze the output Y for different combinations of inputs A and B:
- When A = 1 and B = 1, Y = 0
- When A = 0 and B = 1, Y = 1
- When A = 1 and B = 0, Y = 1
- When A = 0 and B = 0, Y = 1

### Step 3: Compare with Logic Gates
Now, we need to compare these outputs with the expected outputs of common logic gates:

1. **NOT Gate**:
- Only one input, so not applicable here.

2. **OR Gate**:
- Y = A + B
- Y would be 1 when at least one input is 1. This does not match our table.

3. **XOR Gate**:
- Y = A ⊕ B
- Y would be 1 when inputs are different. This does not match our table.

4. **NAND Gate**:
- Y = (A · B)'
- Y would be 0 only when both A and B are 1, which matches our table.

### Step 4: Conclusion
Since the output Y matches the behavior of a NAND gate, we conclude that the given truth table represents a NAND gate.

### Final Answer
The truth table is related to a **NAND gate**.

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