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A $4$ to $1$ multiplexer to realize a Boolean function $F(X, Y, Z)$ is shown in the figure below. The inputs $Y$ and $Z$ are connected to the selectors of the $MUX$ ($Y$ is more significant). The canonical sum-of-product expression for $F(X, Y, Z)$ is

  1. $\Sigma m (2, 3, 4, 7)$
  2. $\Sigma m (1, 3, 5, 7)$
  3. $\Sigma m (0, 2, 4, 6)$
  4. $\Sigma m (2, 3, 5, 6)$
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