Using decoder $($of an appropriate size$)$ and possibly some external gates, design the

combinational circuit defined by the following Boolean functions. Draw the logic

diagram$($using the graphical symbol for decoder$).$

$F_1,x^{\text{'}}y{z}^{\text{'}},xz$

$F_2,x{y}^{\text{'}}{z}^{\text{'}},x^{\text{'}}y$

$=+$

$=,+$