$(3$ points$)$

Simplify following function using Quine$-$Mccluskey Method:

$f_3(A,B,C,D)=m(0,1,2,3,5,8,11,15)$

$(3$ points$)$

Design a circuit for calculating the sum of the digits of a BCD number. $($Hint: the circuit has $4$ inputs and $2$ outputs$)$

$(3$ points$)$