f$($x$1,$x$2,$x$3)=(0,1,2,4,5)$

$1.$About the above output expression

$(1)$ Mark f in canonical SOP form.

$(2)$Minimize f in the form of standard SOP using Boolean algebra.

$(3)$Implement f with NAND only.

$2.$About the above output expression

$(1)$Mark f in canonical POS form.

$(2)$Minimize f in the form of POS $($products of sum$)$using a Boolean algebra.

$(3)$ Implement f with NOR only.

$3$ Change F$($A$,$B$,$C$,$D$)=($A$+$B$)($C$+$D$)$ to Canonical POS using a boolean algebra

Please answer in detail along with the solution process.