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The output of a logic gate is high when all its inputs are at logic 0. The gate can be :

  • a)
    NAND

  • b)
    OR

  • c)
    XNOR

  • d)
    NOR

Correct answer is option 'A,C,D'. Can you explain this answer?
Verified Answer
The output of a logic gate is high when all its inputs are at logic 0....
The Truth table for NAND gate is given below



The Truth table for XNOR gate is given below




The Truth table for NOR gate is given below




It is clear from the tables that when all the inputs are zero the output is high for NAND, XNOR and NOR. Hence correct answers are a, c and d.
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The output of a logic gate is high when all its inputs are at logic 0....
The Output of a Logic Gate

In digital electronics, logic gates are fundamental building blocks that perform logical operations on one or more binary inputs and produce a single binary output. The output of a logic gate depends on the combination of inputs and the specific logic function that the gate implements.

Logic Gates and Their Outputs

There are several types of logic gates, each with its own truth table that defines the relationship between the inputs and the output. The given question states that the output of a logic gate is high when all its inputs are at logic 0. Let's examine the options provided and their corresponding truth tables to understand why options A, C, and D are correct.

NAND Gate
- A NAND gate stands for "NOT AND" and produces an output that is the inverse of the logical AND operation.
- The truth table of a 2-input NAND gate is as follows:
- Input A | Input B | Output
- 0 | 0 | 1
- 0 | 1 | 1
- 1 | 0 | 1
- 1 | 1 | 0
- As we can see, the output is high (logic 1) only when both inputs are low (logic 0). Hence, a NAND gate satisfies the given condition.

XNOR Gate
- An XNOR gate stands for "EXCLUSIVE-NOR" and produces an output that is high when the number of inputs at logic 1 is even.
- The truth table of a 2-input XNOR gate is as follows:
- Input A | Input B | Output
- 0 | 0 | 1
- 0 | 1 | 0
- 1 | 0 | 0
- 1 | 1 | 1
- In this case, the output is high (logic 1) only when both inputs are at the same logic level (either both 0 or both 1). Therefore, an XNOR gate also meets the given condition.

NOR Gate
- A NOR gate stands for "NOT OR" and produces an output that is the inverse of the logical OR operation.
- The truth table of a 2-input NOR gate is as follows:
- Input A | Input B | Output
- 0 | 0 | 1
- 0 | 1 | 0
- 1 | 0 | 0
- 1 | 1 | 0
- Similar to the NAND gate, the output of a NOR gate is high (logic 1) only when both inputs are low (logic 0). Therefore, a NOR gate satisfies the given condition.

Conclusion

In conclusion, the logic gates that meet the given condition of having a high output when all inputs are at logic 0 are the NAND gate, XNOR gate, and NOR gate. These gates exhibit this behavior based on their respective truth tables, which can be used to design and
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The output of a logic gate is high when all its inputs are at logic 0. The gate can be :a)NANDb)ORc)XNORd)NORCorrect answer is option 'A,C,D'. Can you explain this answer?
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