The logic gates giving output '1' for the inputs of '1' and '0' are

Options

A. AND and OR
B. OR and NOR
C. NAND and NOR
D. NAND and OR

Answer

To solve the question about which logic gates give an output of '1' for the inputs '1' and '0', we can follow these steps:

### Step 1: Understand the Inputs
We have two inputs, A and B. The possible combinations of these inputs are:
- A = 0, B = 0
- A = 0, B = 1
- A = 1, B = 0
- A = 1, B = 1

### Step 2: Identify the Logic Gates
We will analyze the outputs of the following logic gates:
1. AND Gate
2. OR Gate
3. NAND Gate
4. NOR Gate

### Step 3: Create Truth Tables
We will create truth tables for each of the gates to determine their outputs for the combinations of A and B.

#### AND Gate
| A | B | Output (A AND B) |
|---|---|------------------|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |

#### OR Gate
| A | B | Output (A OR B) |
|---|---|------------------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |

#### NAND Gate
| A | B | Output (A NAND B)|
|---|---|------------------|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

#### NOR Gate
| A | B | Output (A NOR B) |
|---|---|------------------|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |

### Step 4: Analyze Outputs for Inputs (1, 0)
Now we will check the outputs for the specific input combination (A = 1, B = 0):
- **AND Gate**: Output = 0
- **OR Gate**: Output = 1
- **NAND Gate**: Output = 1
- **NOR Gate**: Output = 0

### Step 5: Conclusion
From the analysis, we can see that the logic gates that give an output of '1' for the inputs (1, 0) are:
- OR Gate
- NAND Gate

### Final Answer
The logic gates giving output '1' for the inputs '1' and '0' are the OR gate and the NAND gate.

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