Try to fill out the table, but this time using 1’s and 0’s, then check your answers.
| p | q | r | p → q | q ⊕ r | (p → q) ↔ (q ⊕ r) |
|---|---|---|---|---|---|
| 1 | 1 | 1 | |||
| 1 | 1 | 0 | |||
| 1 | 0 | 1 | |||
| 1 | 0 | 0 | |||
| 0 | 1 | 1 | |||
| 0 | 1 | 0 | |||
| 0 | 0 | 1 | |||
| 0 | 0 | 0 |
That’s the basics of the notation difference, but the next section will go through some wonderful applications of binary operations.
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