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Which among the following gates has output = A . B ?
- a)OR gate
- b)NOT gate
- c)AND gate
- d)NAND gate
Correct answer is option 'C'. Can you explain this answer?
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Understanding Logic Gates
Logic gates are fundamental building blocks in digital circuits. They perform basic logical functions that are fundamental to digital circuits. Let's analyze the gates mentioned in the question:
1. OR Gate
- The OR gate outputs true (1) if at least one of its inputs is true.
- The output is represented as A + B, not A . B.
2. NOT Gate
- The NOT gate, also known as an inverter, outputs the opposite of the input.
- If the input is A, the output is represented as A', which is not A . B.
3. AND Gate
- The AND gate outputs true (1) only if both of its inputs are true (1).
- The output is represented as A . B, which matches the condition given in the question.
4. NAND Gate
- The NAND gate is the opposite of the AND gate.
- It outputs false (0) only when both inputs are true.
- The output is represented as (A . B)', which is also not A . B.
Conclusion
The correct answer is option 'C' because the AND gate is defined by the output A . B. It only outputs true when both inputs A and B are true, making it the only gate among the options that satisfies the given condition. Understanding these differences is crucial for designing and analyzing digital circuits effectively.
Logic gates are fundamental building blocks in digital circuits. They perform basic logical functions that are fundamental to digital circuits. Let's analyze the gates mentioned in the question:
1. OR Gate
- The OR gate outputs true (1) if at least one of its inputs is true.
- The output is represented as A + B, not A . B.
2. NOT Gate
- The NOT gate, also known as an inverter, outputs the opposite of the input.
- If the input is A, the output is represented as A', which is not A . B.
3. AND Gate
- The AND gate outputs true (1) only if both of its inputs are true (1).
- The output is represented as A . B, which matches the condition given in the question.
4. NAND Gate
- The NAND gate is the opposite of the AND gate.
- It outputs false (0) only when both inputs are true.
- The output is represented as (A . B)', which is also not A . B.
Conclusion
The correct answer is option 'C' because the AND gate is defined by the output A . B. It only outputs true when both inputs A and B are true, making it the only gate among the options that satisfies the given condition. Understanding these differences is crucial for designing and analyzing digital circuits effectively.
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Which among the following gates has output = A . B ?a)OR gateb)NOT gatec)AND gated)NAND gateCorrect answer is option 'C'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Which among the following gates has output = A . B ?a)OR gateb)NOT gatec)AND gated)NAND gateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which among the following gates has output = A . B ?a)OR gateb)NOT gatec)AND gated)NAND gateCorrect answer is option 'C'. Can you explain this answer?.
Which among the following gates has output = A . B ?a)OR gateb)NOT gatec)AND gated)NAND gateCorrect answer is option 'C'. Can you explain this answer? for Class 12 2026 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Which among the following gates has output = A . B ?a)OR gateb)NOT gatec)AND gated)NAND gateCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which among the following gates has output = A . B ?a)OR gateb)NOT gatec)AND gated)NAND gateCorrect answer is option 'C'. Can you explain this answer?.
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