Question
Download Solution PDFA binary full-subtractor:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFA binary full-subtractor contains two half-subtractors and one OR gate.
Truth table for the full- subtractor is
A |
B |
Bin |
M |
N |
0 |
0 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
0 |
1 |
1 |
1 |
0 |
1 |
0 |
1 |
0 |
0 |
1 |
1 |
1 |
1 |
1 |
Difference(D) = A̅ B̅ Bin + A̅ B B̅in + AB̅ B̅in + ABBin
D = Bin ⊕ (A ⊕ B)
Borrow(B) = A̅ B̅ Bin + A̅ B B̅in + A̅ B Bin + ABBin
B = (A̅ B̅ + AB)Bin + A̅ B
B = (A̅ ⊕ B)Bin + A̅ B
Last updated on Jun 23, 2025
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