Computer Adders' table is shown below, please make Cout logical representation by $($ Cin,$A,B)$ using the Sum of Product or Product of Sum $($using only one is ok$)$ and draw hardware implementation. $(20$ points$).$

$\backslash$table$[[$Cin$,$A$,$B$,$Sum,Cout$],[0,0,0,0,0],[0,0,1,1,0],[0,1,0,1,0],[0,1,1,0,1],[1,0,0,1,0],[1,0,1,0,1],[1,1,0,0,1],[1,1,1,1,1]]$

Cout $=f(Cin,A,B)$