Engineering
Mathematics
Logical Operator Reasoning AND and OR
Question
The negation of ~ s ∨ (~ r ⋀ s) is equivalent to
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Solution
| r | s | ~ r | ~ s | (~ r ∧ s) | ~ s(~ r ∧ s) | s ∧ r |
| T | F | F | T | F | T | F |
| F | T | T | F | T | T | F |
| F | F | T | T | F | T | F |
| T | T | F | F | F | F | T |
∴ Negation of statement ~ s ⋀ (~ r ⋀ s) is equivalent to (s ⋀ r)