Which of the following boolean expressions are the correct output for the SUM output of a full adder that has the inputs A, B, and C?Question 4Answera.A XOR (B XOR C)b.A AND B XOR Cc.A OR B XOR Cd.A XOR B XOR C
Question
Which of the following boolean expressions are the correct output for the SUM output of a full adder that has the inputs A, B, and C?Question 4Answera.A XOR (B XOR C)b.A AND B XOR Cc.A OR B XOR Cd.A XOR B XOR C
Solution
The correct output for the SUM output of a full adder that has the inputs A, B, and C is:
d. A XOR B XOR C
Here's why:
A full adder adds binary numbers and accounts for values carried in and out. The SUM output of a full adder is the result of the addition of the inputs A, B, and the carry in C.
The XOR (exclusive OR) gate gives a true (1 or HIGH) output when the number of true inputs is odd. So, for the SUM output of a full adder, we need to XOR all the inputs A, B, and C.
So, the correct boolean expression is A XOR B XOR C.
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