We consider the following four Boolean functions:

$f_1$:$Z_2^3{Z}_2$ defined by $($:$f(x_1,x_2,x_3)\frac{?}{b}=ar(x_1{)}^{{?}^{?}}(x_{2}vv{\stackrel{}{x}}_3)\}$

$f_2$:$Z_2^3{Z}_2$ defined by $f(x_1,x_2,x_3)=x_1^{{?}^{?}}(x_{2}vv{\stackrel{}{x}}_3)$

$f_3$:$Z_2^3{Z}_2$ defined by $f(x_1,x_2,x_3)=x_1^{{?}^{?}}(\frac{?}{\text{b}\text{a}\text{r}}(x_2)vv{\stackrel{}{x}}_3{)}^{{?}^{?}}{x}_1^{{?}^{?}}(x_{2}vv{\stackrel{}{x}}_3)$

If $x_{1}o+x_2$ denote the Exclusive $-OR$ then find the logic table for

Based on Boolean above functions in find the logic table for

a$)(f_{1}o+f_2)uarr{f}_3$

b$)(f_{3}o+f_2)uarr{f}_1$

c$)(f_{1}o+f_2)uarr(f_{3}o+f_2)$