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A burglar-alarm system in a house sounds an alarm during the hours of darkness when one of the following conditions is met: - the door is open - the window is opened - both the door and the window are opened - AQA - A-Level Physics - Question 2 - 2021 - Paper 8
Question 2
A burglar-alarm system in a house sounds an alarm during the hours of darkness when one of the following conditions is met: - the door is open - the window is opene... show full transcript
Worked Solution & Example Answer:A burglar-alarm system in a house sounds an alarm during the hours of darkness when one of the following conditions is met: - the door is open - the window is opened - both the door and the window are opened - AQA - A-Level Physics - Question 2 - 2021 - Paper 8
Step 1
Complete Table 2.
Answer
To complete Table 2, we need to determine the output Q based on the values of inputs A, B, and C:
- For (0, 0, 0): Since all inputs are closed, Q = 1 (silent).
- For (0, 0, 1): The door is closed, no alarm, Q = 0.
- For (0, 1, 0): Window is opened, Q = 1 (alarm sounds).
- For (0, 1, 1): Both window opened and door closed, Q = 1 (alarm sounds).
- For (1, 0, 0): The door is opened, Q = 1 (alarm sounds).
- For (1, 0, 1): Door opened and window closed, Q = 0 (no alarm).
- For (1, 1, 0): Door opened and window opened, Q = 1 (alarm sounds).
- For (1, 1, 1): All conditions triggered, Q = 1 (alarm sounds).
Thus, the completed table will be:
| C | B | A | Q |
|---|---|---|---|
| 0 | 0 | 0 | 1 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |