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Which of following gates produces output...

Which of following gates produces output of 1?

A

B

C

D

Text Solution

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The correct Answer is:
To solve the question of which logic gate produces an output of 1, we will analyze each gate based on their truth tables. The gates we will consider are NAND, NOR, AND, and OR. ### Step-by-Step Solution: 1. **Identify the Gates**: We have four types of gates to analyze: - NAND Gate - NOR Gate - AND Gate - OR Gate 2. **Define Inputs**: Let's denote the inputs as A and B. The possible combinations of A and B are: - (0, 0) - (0, 1) - (1, 0) - (1, 1) 3. **Construct Truth Tables**: - **NAND Gate**: The output is 1 unless both inputs are 1. - A | B | Output (NAND) - 0 | 0 | 1 - 0 | 1 | 1 - 1 | 0 | 1 - 1 | 1 | 0 - **NOR Gate**: The output is 1 only when both inputs are 0. - A | B | Output (NOR) - 0 | 0 | 1 - 0 | 1 | 0 - 1 | 0 | 0 - 1 | 1 | 0 - **AND Gate**: The output is 1 only when both inputs are 1. - A | B | Output (AND) - 0 | 0 | 0 - 0 | 1 | 0 - 1 | 0 | 0 - 1 | 1 | 1 - **OR Gate**: The output is 1 if at least one input is 1. - A | B | Output (OR) - 0 | 0 | 0 - 0 | 1 | 1 - 1 | 0 | 1 - 1 | 1 | 1 4. **Analyze Outputs**: - From the truth tables: - **NAND Gate**: Outputs 1 for (0,0), (0,1), (1,0) but 0 for (1,1). - **NOR Gate**: Outputs 1 only for (0,0). - **AND Gate**: Outputs 1 only for (1,1). - **OR Gate**: Outputs 1 for (0,1), (1,0), and (1,1). 5. **Conclusion**: - The gates that produce an output of 1 are: - NAND Gate: (0,0), (0,1), (1,0) - NOR Gate: (0,0) - OR Gate: (0,1), (1,0), (1,1) - The AND Gate only produces an output of 1 for (1,1). Thus, the gates that produce an output of 1 are **NAND, NOR, and OR** gates. ### Final Answer: The gates that produce an output of 1 are NAND, NOR, and OR gates.
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