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Half-Adder

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Hi guys i Have a problem with adder -exactly half adder- I really dont understand that when A half adder adds two one-bit binary numbers A and B. It has two outputs, S and C is defined , the final sum is 2C + S?? Why we multiple c for 2 times ??

Hi guys i Have a problem with adder -exactly half adder- I really dont understand that when A half adder adds two one-bit binary numbers A and B. It has two outputs, S and C is defined , the final sum is 2C + S?? Why we multiple c for 2 times ??

 

C is the carry bit 2C is the same as shifting left one bit so C is in the correct "column".

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