Exercise 12.2 · Q15
Q.Prove that using truth table.
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Start your 14-day free trial to unlock the full solution →With three variables the table needs rows; we evaluate both formulas across every row and check the final columns match, which proves the equivalence directly (this is really the general identity with , ).
Step 1. Set up the 8-row table with .
| T | T | T | F | T | T | F | T |
| T | T | F | F | F | F | F | F |
| T | F | T | T | T | T | F | T |
| T | F | F | T | T | T | F | T |
| F | T | T | F | T | T | T | T |
| F | T | F | F | F | T | T | T |
| F | F | T | T | T | T | T | T |
| F | F | F | T | T | T | T | T |
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