A half-adder is also known as:
2005
A half-adder is also known as:
Answer: D. EX-OR Circuit — ConceptA half-adder is a combinational circuit that adds two one-bit inputs A and B. It produces two outputs: a sum bit S and a carry bit C. The governing…
- A.
AND Circuit
- B.
NAND Circuit
- C.
NOR Circuit
- D.
EX-OR Circuit
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Correct answer: D
Concept
A half-adder is a combinational circuit that adds two one-bit inputs A and B. It produces two outputs: a sum bit S and a carry bit C.
The governing equations are S = A ⊕ B and C = A · B. Thus, EX-OR supplies the parity pattern for the sum, while AND supplies the carry.
Application
Among the offered labels, EX-OR Circuit identifies the sum-generating logic that characterizes binary addition in the terminology of this UGC NET item. Strictly speaking, a complete half-adder contains both an EX-OR gate and an AND gate.
Cross-check
A | B | S = A ⊕ B | C = A · B |
|---|---|---|---|
0 | 0 | 0 | 0 |
0 | 1 | 1 | 0 |
1 | 0 | 1 | 0 |
1 | 1 | 0 | 1 |
AND Circuit: its truth table supplies only the carry output.
NAND Circuit: its truth table is the complement of the carry output.
NOR Circuit: its truth table matches neither half-adder output.
EX-OR Circuit: its truth table supplies the sum output used as the item’s identifying operation.
Therefore, under the source exam’s intended convention, the answer is EX-OR Circuit.
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