show all work $1)$ Use truth tables to determine whether the following expressions are the same or not. Do not simplify equations. $1.$ f$=$y$^\text{'}$z$^\text{'}+$xz $2.$ g$=$y$^\text{'}+$z$^\text{'}3.$ h$=$y$($x$+$z$^\text{'})+$x y zUse truth tables to determine whether the following expressions are the same or

not. Minterm expansion is okay, but still show the truth table

$f(x,y,z)=x^{\text{'}}{y}^{\text{'}}+xz$

$g(x,y,z)=xy+y^{\text{'}}z$

$h(x,y,z)={\displaystyle \underset{?}{\overset{?}{}}}m(1,5,6,7)$

Simplify the following expressions into a minimum SOP form using algebraic rules.

The size of the minimum SOP form solution is shown in parentheses.

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

$(2$ terms, $2$ literals$)$

$g(a,b,c)={\displaystyle \underset{?}{\overset{?}{}}}m(0,2,4,5)$

$(2$ terms, $4$ literals$)$

$h(a,b,c)=(a^{\text{'}}+b{)}^{\text{'}}+ab{c}^{\text{'}}+a^{\text{'}}b{c}^{\text{'}}$

$(2$ terms, $4$ literals$)$