The circuit shown in the given figure is a
20072007
The circuit shown in the given figure is a

- A.
Full adder
- B.
Full subtractor
- C.
Shift register
- D.
Decade counter
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Correct answer: B
Correct answer: Full subtractor
The circuit has three inputs, A, B, and C, and two outputs, D and E. The figure shows the lower AND gate receiving B and C, so its output is BC.
Difference output: The lower XOR gate gives B ⊕ C, and the top XOR gate gives D = A ⊕ (B ⊕ C) = A ⊕ B ⊕ C.
Borrow output: The upper AND gate gives A'(B ⊕ C), and the lower AND gate gives BC. The OR gate combines them as E = A'(B ⊕ C) + BC.
Full-subtractor form: A'(B ⊕ C) + BC is equivalent to A'B + A'C + BC, the standard borrow-out expression of a full subtractor.
Final answer: Full subtractor.
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