If A, B and C are the inputs of a full adder then the carry is given by______________
A)a and b or (a or b) and c
B)a or b or (a and b) c
C)(a and b) or (a and b)c
D)a xor b xor (a xor b) and c

Question

If A, B and C are the inputs of a full adder then the carry is given by______________    
A)a and b or (a or b) and c
B)a or b or (a and b) c
C)(a and b) or (a and b)c
D)a xor b xor (a xor b) and c

Quizplus · Accepted Answer

The carry output of a full adder is given by the formula: (A AND B) OR ((A XOR B) AND C). This formula represents the conditions under which a carry is generated: either when both A and B are 1 (A AND B), or when one of A or B is 1 (A XOR B) and C is also 1. Choice A, "a and b or (a or b) and c," closely matches this logic, albeit with a slight misrepresentation in the use of "or" instead of "xor" for the (A XOR B) part. However, given the options, it's the closest to the correct logic for carry generation in a full adder.

If A, B and C Are the Inputs of a Full