In automated safety systems for an industrial chemical plant, safety shutdowns are controlled using electronic logic circuits. A primary alarm is triggered based on the status of three independent sensors: pressure (PPP), temperature (QQQ), and manual override (RRR), where 1 represents an active warning signal and 0 represents normal operation.
Complete the truth table below by determining the missing binary values for [i] to [vi].
| PPP | QQQ | RRR | P AND QP\text{ AND } QP AND Q | (P AND Q) OR R(P\text{ AND } Q)\text{ OR } R(P AND Q) OR R |
|---|---|---|---|---|
| 0 | 0 | 0 | [i] | 0 |
| 0 | 0 | 1 | 0 | [ii] |
| 0 | 1 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | [iii] |
| 1 | 0 | 0 | 0 | [iv] |
| 1 | 0 | 1 | 0 | 1 |
| 1 | 1 | 0 | [v] | 1 |
| 1 | 1 | 1 | 1 | [vi] |