Consider the following function expressed as a

sum of products.

f$($A$,$B$,$C$,$D$,$E$,$F$,$G$)=$ ADF $+$ AEF $+$ BDF $+$ BEF $+$

CDF $+$ CEF $+$ G

To implement this function as a two$-$level gate

network requires six $3-$input AND gates, and one

$7-$input OR gate and $19$ circuit input paths.

Manipulate the expression so that the function

can be implemented as a three$-$level gate

network using two $2-$input gates and two $3-$input

gates.