Engineering the Future. Electrical Engineering. Digital Circuits Fundamentals Hands-on Full-Adder Simulation (afternoon). Engineering the Future. Electrical Engineering:. Digital Circuits Fundamentals Binary Numbers Binary Functions. Decimal Numbers. Binary Numbers. Binary Numbers.
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With two’s complement numbers, addition is sufficient
usually interested in adding more than two bits
this motivates the need for the full adder
S = A’B’CI+A’BCI+AB’CI’+ABCI = CI xor A xor B
CO = B CI + A CI + A B = CI (A + B) + A B
Standard Approach: 6 Gates
Alternative Implementation: 5 Gates
CO = A B + CI (A xor B) = A B + B CI + A CI