(Solved): a) (10 pts). Using a decoder and external gates, design the combinational circuit defined by the fo ...

a) (10 pts). Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions: \[ \begin{array}{l} F 1(x, y, z)=\left(y^{\prime}+x\right) z \\ F 2(x, y, z)=y^{\prime} z^{\prime}+x^{\prime} y+y z^{\prime} \\ F 3(x, y, z)=x^{\prime} z^{\prime}+x y \end{array} \]