Question $12$

$[1$ mark$]$ Which of the following Boolean expressions are logically equivalent?

i$.\frac{?}{\text{b}\text{a}\text{r}}(\frac{?}{\text{b}\text{a}\text{r}}(A)\frac{*}{b}ar(B))$

ii$.\frac{?}{\text{b}\text{a}\text{r}}(\frac{?}{\text{b}\text{a}\text{r}}(A))\frac{*}{b}ar(\frac{?}{\text{b}\text{a}\text{r}}(B))$

iii. $A+B$

iv$.\frac{?}{\text{b}\text{a}\text{r}}(\frac{?}{\text{b}\text{a}\text{r}}(A))\frac{+}{b}ar(\frac{?}{\text{b}\text{a}\text{r}}(B))$

$($a$)$ i$,$ ii$,$ and iii

$($b$)$ ii and iii

$($c$)$ i$,$ iii, and iv

$($d$)$ i and ii

$($e$)$ None of the options