Please provide the CNF of the following function and then simplify it$.$

$f\frac{?}{b}=ar(abc+b(c+d)+(\frac{?}{\text{b}\text{a}\text{r}}(c))d)$

Design the Boolean circuit $($using logical gates$)$ to achieve the following function

Input: two numbers A and $B$ with $3$ bits and $\{$:$B=)$

Output: if $A=B,$ then output $1$ ; otherwise output $0.$