A circuit with $5$ primary inputs a$,$b$,$c$,$d$,$e is defined by the following expressions

$x=a\text{'}d+ab\text{'}+$a'd'e$+b\text{'}c+bd\text{'}+ac$

$y=a+b$

$z=a{a}^{\text{'}}+a^{\text{'}}d+b{c}^{\text{'}}+b^{\text{'}}{d}^{\text{'}}+e$

$u=ac+a^{\text{'}}{d}^{\text{'}}+b^{\text{'}}+e^{\text{'}}d$

$($a$)$ Draw the logic network

$($b$)$ Perform the algebraic division fx$/$fy

$(7$ Marks$)$