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The output of a logic gate is ‘$1$’ when all its inputs are at logic ‘$0$’. Then gate is either

  1. a $\text{NAND}$ or an $\text{EX-OR}$ gate
  2. a $\text{NOR}$ or an $\text{EX-NOR}$ gate
  3. an $\text{OR}$ or an $\text{EX-NOR}$ gate
  4. an $\text{AND}$ or an $\text{EX-OR}$ gate
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