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If the output of a logic gate is 0 only when all its inputs are at logic 1, then which of the following are/is not the corresponding gate?

  • a)
    AND

  • b)
    NAND

  • c)
    NOR

  • d)
    NOT

Correct answer is option 'A,C,D'. Can you explain this answer?
Verified Answer
If the output of a logic gate is 0 only when all its inputs are at log...
Truth table is,



This is truth table for NAND gate.


The gate whose output is low if and only if all inputs are high, is NAND.


The logic NAND gate is a combination of a digital logic AND gate and a NOT gate connected together in series.


A NAND gate (NOT-AND) is a logic gate which produces an output which is false only if all its inputs are true; thus its output is complement to that of an AND gate. A LOW (0) output results only if all the inputs to the gate are HIGH (1); if any input is LOW (0), a HIGH (1) output results.
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If the output of a logic gate is 0 only when all its inputs are at log...
AND gate:
- An AND gate produces an output of 1 only when all of its inputs are at logic 1. If any of the inputs are at logic 0, the output will be 0.
- Therefore, the output of an AND gate is 0 when all inputs are at logic 1, which matches the given condition. So, the AND gate is a corresponding gate.

NAND gate:
- A NAND gate produces an output of 0 only when all of its inputs are at logic 1. If any of the inputs are at logic 0, the output will be 1.
- Therefore, the output of a NAND gate is not 0 when all inputs are at logic 1, which does not match the given condition. So, the NAND gate is not a corresponding gate.

NOR gate:
- A NOR gate produces an output of 0 only when all of its inputs are at logic 1. If any of the inputs are at logic 0, the output will be 1.
- Therefore, the output of a NOR gate is not 0 when all inputs are at logic 1, which does not match the given condition. So, the NOR gate is not a corresponding gate.

NOT gate:
- A NOT gate produces an output that is the opposite of its input. If the input is 1, the output will be 0, and if the input is 0, the output will be 1.
- Therefore, the output of a NOT gate is always 0 when the input is 1, which matches the given condition. So, the NOT gate is a corresponding gate.

Based on the given condition, the corresponding gates are the AND gate and the NOT gate. The NAND gate and the NOR gate do not meet the condition because their outputs are not 0 when all inputs are at logic 1.
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If the output of a logic gate is 0 only when all its inputs are at logic 1, then which of the following are/is not the corresponding gate?a)ANDb)NANDc)NORd)NOTCorrect answer is option 'A,C,D'. Can you explain this answer?
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