An automated safety shutdown system in a chemical processing plant monitors three sensor conditions represented by Boolean variables XXX, YYY, and ZZZ (where 1 represents TRUE / active and 0 represents FALSE / inactive).
The system generates a shutoff signal, WWW, defined by the following Boolean expression:
W=(NOT X OR Y) AND NOT Z W = (\text{NOT } X \text{ OR } Y) \text{ AND } \text{NOT } Z W=(NOT X OR Y) AND NOT ZComplete the truth table for this Boolean expression to determine under what combinations of sensor inputs the shutoff signal is triggered.
| XXX | YYY | ZZZ | WWW |
|---|---|---|---|
| 0 | 0 | 0 | |
| 0 | 0 | 1 | |
| 0 | 1 | 0 | |
| 0 | 1 | 1 | |
| 1 | 0 | 0 | |
| 1 | 0 | 1 | |
| 1 | 1 | 0 | |
| 1 | 1 | 1 |
Practise OCR GCSE Computer Science Boolean logic with exam-style questions for GCSE Computer Science. 27 questions, matched to the OCR GCSE Computer Science (J277) specification and written in Component 01 and Component 02 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.