Question
Download Solution PDFWhich of the following is true about the Half Subtractor circuit?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHalf Subtractor Circuit
A Half Subtractor is a combinational logic circuit used for binary subtraction. It subtracts two binary digits and generates two outputs: the difference and the borrow-out. It is called a "Half Subtractor" because it does not take into account any borrow input from previous stages, unlike the Full Subtractor.
- Difference: The difference between two binary digits is calculated using the XOR (Exclusive OR) operation. The truth table for XOR illustrates that the output is 1 when the inputs are different (0 ⊕ 1 or 1 ⊕ 0), and the output is 0 when the inputs are the same (0 ⊕ 0 or 1 ⊕ 1).
- Borrow-out: Borrow-out is generated using the NOT AND (A̅ × B) operation, which determines whether borrowing is needed during subtraction. Borrow occurs when B is 1 and A is 0, indicating that the minuend is smaller than the subtrahend.
Truth Table:
| Input A | Input B | Difference (A ⊕ B) | Borrow-out (A̅ × B) |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
Last updated on Jul 2, 2025
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