In a half – adder having two inputs A and B and two outputs (S and C are the sum and carry output bits respectively) the Boolean expression for S and C in terms of A and B is

• A. \(S = \bar AB + A\bar B;C = AB\)
• B. \(S = AB + \bar AB;C = A + B\)
• C. \(S = \bar A\bar B + AB;C = A + \bar B\)
• D. \(S = \bar A + A\bar B;C = \bar A + B\)