For the following function:

G$($x$,$y$,$z$)=$m$(0,2,3,6)$

a$.$ Show the truth table

b$.$ Show an algebraic expression in canonical SOP form

c$.$ Show a min SOP expression using Boolean algebra simplification only $(3$ terms, $6$ literals$)$

d$.$ Show an algebraic expression in canonical POS form

e$.$ Show the numeric shorthand equation for the POS

f$.$ Show a minimum POS expression using Boolean algebra simplification only $(3$ terms, $6$ literals$)$