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Explain De Morgan's laws
written 4.9 years ago by
teamques10
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modified 2.2 years ago
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sagarkolekar
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written 2.2 years ago by
sagarkolekar
★ 11k
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De Morgan's laws:
AB = A + B
A + B = A . B
| (1) | (2) | (3) | (4) | (5) | (6) | (7) | (8) | (9) | (10) |
|---|---|---|---|---|---|---|---|---|---|
| A | B | A | B | AB | AB | A + B | A + B | A + B | A . B |
| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 |
| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0 |
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 |
Columns (6) & (7) prove that, AB = A + B
Columns (9) & (10) prove that A + B = A.B
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