The circuit shown in the given figure is a

20072007

The circuit shown in the given figure is a

Full subtractor circuit
  1. A.

    Full adder

  2. B.

    Full subtractor

  3. C.

    Shift register

  4. D.

    Decade counter

Attempted by 191 students.

Show answer & explanation

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.

A video solution is available for this question — log in and enroll to watch it.

Explore the full course: Isro