$2\mathrm{.}3$ Simplify the following Boolean expressions to a minimum number of literals:

$($a$)*$ ABC$+A^{\text{'}}B+AB{C}^{\text{'}}$

$($b$){?}^{\text{'}}{x}^{\text{'}}yz+xz$

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

$($d$)*xy+x(wz+w{z}^{\text{'}})$

$(e{)}^{*}(B{C}^{\text{'}}+A^{\text{'}}D)(A{B}^{\text{'}}+C{D}^{\text{'}})$

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