Building a Circuit From a Truth Table

S = A’B’Cin + A’BCin’ + AB’Cin’ + ABCin

Cout = A’BCin + A B’Cin + ABCin’ + ABCin

= A’BCin + ABCin + AB’Cin + ABCin + ABCin’ + ABCin

= BCin + ACin + AB

= (A’ + A)BCin + (B’ + B)ACin + (Cin’ + Cin)AB

= 1·BCin + 1· ACin + 1· AB

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