Question:medium
What operation is performed by the given circuit?
What operation is performed by the given circuit?
Show Hint
Subtraction can be implemented using addition by converting the second operand into its Two’s Complement form (\(\bar{B} + 1\)).
Updated On: Feb 4, 2026
- B to G Converter
- Subtractor
- Multiplier
- None of the above
Show Solution
The Correct Option is B
Solution and Explanation
Understanding the Circuit.
The given circuit consists of:
- A Full Adder (FA)
- An XOR gate that inverts \( y \) (i.e., \( y' = y \oplus 1 = \bar{y} \))
- A Carry-in value of 1
Binary Subtraction via Two’s Complement: \[ A - B = A + \bar{B} + 1 \] Here:
- \( x \) is directly passed to the FA.
- \( y \) is complemented via XOR with 1.
- Carry-in = 1.
This is the standard way to perform subtraction using addition, confirming that the circuit acts as a subtractor.
The given circuit consists of:
- A Full Adder (FA)
- An XOR gate that inverts \( y \) (i.e., \( y' = y \oplus 1 = \bar{y} \))
- A Carry-in value of 1
Binary Subtraction via Two’s Complement: \[ A - B = A + \bar{B} + 1 \] Here:
- \( x \) is directly passed to the FA.
- \( y \) is complemented via XOR with 1.
- Carry-in = 1.
This is the standard way to perform subtraction using addition, confirming that the circuit acts as a subtractor.
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