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Let $\text{MXI}$ be an inverting $2:1$ multiplexer whose output is $a’,$ when $s=0$ and output is $b’$ when $s=1.$ That is, $\text{MXI}(s,a,b) = s’a’ + sb’.$ What function is the following circuit equivalent to?

  1. Exclusive $\text{OR}$
  2. Exclusive $\text{NOR}$
  3. Inclusive $\text{OR}$
  4. Half adder sum
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