Question:
Which of the following gates can perform perfect binary addition?
Which of the following gates can perform perfect binary addition?
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The XOR gate is fundamental in binary addition, particularly in full adders for digital circuits.
Updated On: Apr 28, 2026
- AND gate
- OR gate
- NAND gate
- XOR gate
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The Correct Option is D
Solution and Explanation
Step 1: XOR gate behavior
The XOR (exclusive OR) gate produces an output of 1 when the number of input 1s is odd. For two inputs, it gives 1 when the inputs are different and 0 when they are the same.
Step 2: Role in binary addition
In binary addition, the sum bit is obtained using the XOR operation, while the carry bit is obtained using the AND operation. Thus, XOR alone cannot perform complete binary addition.
Step 3: Complete adder requirement
A full adder requires both XOR (for sum) and AND/OR gates (for carry propagation) to perform full binary addition.
Final Conclusion:
Thus, the XOR gate provides the sum output in binary addition but does not perform complete binary addition by itself.
The XOR (exclusive OR) gate produces an output of 1 when the number of input 1s is odd. For two inputs, it gives 1 when the inputs are different and 0 when they are the same.
Step 2: Role in binary addition
In binary addition, the sum bit is obtained using the XOR operation, while the carry bit is obtained using the AND operation. Thus, XOR alone cannot perform complete binary addition.
Step 3: Complete adder requirement
A full adder requires both XOR (for sum) and AND/OR gates (for carry propagation) to perform full binary addition.
Final Conclusion:
Thus, the XOR gate provides the sum output in binary addition but does not perform complete binary addition by itself.
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