Binary Adder

F (A,B,C) = A xor B xor C G = AB + AC + BC

These equations look familiar. These define a Binary Full Adder :

A

B

S

Ci

Co

Cin

A

B

Cout

Sum

Sum = A xor B xor Cin

Cout = AB + Cin A + Cin B = AB + Cin (A + B)

Full Adder (FA)

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