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22 (a) p · q (b) pˉ ·r
(c) $p \cdot q + \bar{p} \cdot \bar{q}$ (d) $p + q + r$
(e) 1 (f) $q + r$
23 (a) $\bar{p} \cdot q + p \cdot \bar{q} + p \cdot q$
(b) $(p + q) \cdot (p + \bar{q}) + p \cdot (\bar{r} + \bar{q})$
(c) $p \cdot (q + \bar{p}) + (q + r) \cdot \bar{p}$
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| 21 p | q | r | pˉ | qˉ | rˉ | pˉ · q · rˉ | p · q · r | f | ||
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 |
| 0 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 1 |
| 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 1 |
| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |
$$f = \bar{p \cdot q \cdot \bar{r} + \bar{p} \cdot q \cdot r + p \cdot \bar{q} \cdot \bar{r} + p \cdot q \cdot r$$







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