implement the original

and simplified expressions of below.

$2\mathrm{.}2$ Simplify the following Boolean exp

sions to a minimum number of literals:

A$.{?}^{**}xy+xy$

B$.****(x+y)(x+y)$

C$.{?}^{****}xyz+xy+xyz$

D$.*****(x+y)(x+y)$

E$.(a+b+c)(ab+c)$

F$.,abc+abc+abc+abc$

$2\mathrm{.}5$ Draw logic diagrams of the circuits that implement the original and simplified expressions in Problem

$2\mathrm{.}2($c$),($e$),$ and $($f$).$

$2\mathrm{.}2$ Simplify the following Boolean expres$-$

sions to a minimum number of literals:

A$.**xy+x{y}^{\text{'}}$

B$.**(x+y)(x+y^{\text{'}})$

C$.**xyz+x^{\text{'}}y+x^{\text{'}}{?}^{\text{'}}$

D$.**(x+y{)}^{\text{'}}(x^{\text{'}}+y^{\text{'}}{)}^{\text{'}}$

E$.(a+b+c^{\text{'}})(a^{\text{'}}{b}^{\text{'}}+c)$

i need help draw logic of f please