Question $3[3$ points$]$

Implement the following Boolean functions with a $38$ decoder. Write down the truth table and draw the circuit diagram $($using the decoder symbol given in below$)$:

$F_1(x,y,z)=x^{\text{'}}z+y{z}^{\text{'}}$

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

$\backslash$table$[[x,y,z,F1,F2$