A digital control system for an automated greenhouse regulates ventilation based on three sensor inputs: AAA (actuator failure), BBB (backup override), and CCC (critical temperature threshold). The system's logic gate output is represented by the Boolean expression:
(NOT A AND B AND C) OR (NOT A AND NOT B AND C) (\text{NOT } A \text{ AND } B \text{ AND } C) \text{ OR } (\text{NOT } A \text{ AND } \text{NOT } B \text{ AND } C) (NOT A AND B AND C) OR (NOT A AND NOT B AND C)The truth table representing this logic is shown in Table 1.
Table 1
| A | B | C | OUTPUT |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 0 |
Select the option which shows a simpler, equivalent Boolean expression that can replace this control logic without changing its output behaviour.
NOT A AND C\text{NOT } A \text{ AND } CNOT A AND C
B AND CB \text{ AND } CB AND C
NOT A AND B\text{NOT } A \text{ AND } BNOT A AND B
NOT C AND A\text{NOT } C \text{ AND } ANOT C AND A
Practise AQA GCSE Computer Science Boolean logic with exam-style questions for GCSE Computer Science. 83 questions, matched to the AQA GCSE Computer Science (8525) specification and written in Paper 1 and Paper 2 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.