Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions:

$F_1=x^{\text{'}}yz{z}^{\text{'}}+xz$

$F_2=x{y}^{\text{'}}{z}^{\text{'}}+x^{\text{'}}y$

$F_3=x^{\text{'}}{y}^{\text{'}}{z}^{\text{'}}+xy$