An automated emergency sprinkler system in a chemical processing plant activates if both the primary heat sensor registers a temperature above 120∘C120^\circ\text{C}120∘C and the vessel pressure exceeds 5 bar5\text{ bar}5 bar, or if the manual emergency lever is pulled.
This system's operation can be represented by the boolean inputs:
The logic rule determining system activation is written as: (H and P) or M(H\text{ and }P)\text{ or }M(H and P) or M
Complete the truth table by identifying the missing binary values for [A], [B], [C], [D], [E], and [F].
| HHH | PPP | MMM | H and PH\text{ and }PH and P | (H and P) or M(H\text{ and }P)\text{ or }M(H and P) or M |
|---|---|---|---|---|
| 0 | 0 | 0 | 0 | [A] |
| 0 | 0 | 1 | [B] | 1 |
| 0 | 1 | 0 | 0 | [C] |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 0 | 0 | [D] | 0 |
| 1 | 0 | 1 | 0 | [E] |
| 1 | 1 | 0 | 1 | [F] |
| 1 | 1 | 1 | 1 | 1 |