Exercise 12.2 · Q6
Q.Construct the truth table for the following statements.
(i)
(ii)
(iii)
(iv)
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Start your 14-day free trial to unlock the full solution →We build each table by adding one column at a time -- first any negations, then the named sub-expression, finishing with the full formula -- across every combination of truth values.
Step 1. (i) -- 4 rows.
| T | T | F | F | F |
| T | F | F | T | F |
| F | T | T | F | F |
| F | F | T | T | T |
Step 2. (ii) -- 4 rows.
| T | T | F | F | T |
| T | F | T | T | F |
| F | T | F | F | T |
| F | F | T | F | T |
Step 3. (iii) -- 4 rows.
| T | T | F | T | T |
| T | F | T | T | T |
| F | T | F | T | T |
| F | F | T | F | T |
(Every entry is -- this formula is in fact a tautology.)
Step 4. (iv) -- 3 variables, 8 rows. …
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