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What are the minimum number of $2$-to-$1$ multiplexers required to generate a $2$-input $\text{AND}$ gate and a $2$-input $\text{Ex-OR}$ gate?

  1. $1$ and $2$
  2. $1$ and $3$
  3. $1$ and $1$
  4. $2$ and $2$
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