Question:
Full adder can be implemented by
Full adder can be implemented by
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MUX is a universal combinational circuit—can implement full adder easily.
Updated On: Jul 2, 2026
- decoders
- multiplexers
- AND & OR gates
- half adders
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The Correct Option is B
Solution and Explanation
Concept:
A full adder is a combinational circuit that performs addition of three bits: \(A, B,\) and carry-in \(C_{in}\).
Step 1: Output expressions Sum: \[ S = A \oplus B \oplus C_{in} \] Carry: \[ C = AB + BC_{in} + AC_{in} \]
Step 2: Multiplexer capability A multiplexer can implement any Boolean function by selecting appropriate inputs.
Step 3: Using MUX By treating input variables as select lines, the output function can be mapped.
Step 4: Practical implementation Full adder is commonly realized using 8:1 or 4:1 multiplexers.
Step 5: Conclusion \[ \boxed{\text{Multiplexers}} \]
Final Answer: \[ \boxed{(B)} \]
Step 1: Output expressions Sum: \[ S = A \oplus B \oplus C_{in} \] Carry: \[ C = AB + BC_{in} + AC_{in} \]
Step 2: Multiplexer capability A multiplexer can implement any Boolean function by selecting appropriate inputs.
Step 3: Using MUX By treating input variables as select lines, the output function can be mapped.
Step 4: Practical implementation Full adder is commonly realized using 8:1 or 4:1 multiplexers.
Step 5: Conclusion \[ \boxed{\text{Multiplexers}} \]
Final Answer: \[ \boxed{(B)} \]
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