Design house alarm system starting with truth table and apply logic simplification techniques to minimize gate count. Implement only combinatorial part of the alarm (truth table attached). Draw your schematic using gates.

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Design house alarm system starting with truth table and apply logic simplification techniques to minimize gate count. Implement only combinatorial part of the alarm (truth table attached). Draw your schematic using gates.

 

**House Alarm System: Truth Table for Combinatorial Part**

This truth table represents the logic operations for a house alarm system. It defines conditions under which the alarm system will activate an alert. Each column corresponds to a different sensor or system state:

- **Motion1**: Sensor detecting motion in zone 1 (1 = motion detected, 0 = no motion).
- **Motion2**: Sensor detecting motion in zone 2 (1 = motion detected, 0 = no motion).
- **Window**: Sensor detecting the window status (1 = open, 0 = closed).
- **Door**: Sensor detecting the door status (1 = open, 0 = closed).
- **Armed**: System armed state (1 = armed, 0 = disarmed).
- **Away**: Status indicating if the occupants are away (1 = away, 0 = home).
- **Alert**: Final status indicating if the alert is triggered (1 = alert, 0 = no alert).

### Explanation:

The table lists all possible combinations of inputs and their corresponding alert status:

- In the first five rows, the alarm system is disarmed (Armed = 0), so no alert is triggered regardless of other conditions.
- For the system to trigger an alert:
  - The system must be armed (Armed = 1).
  - At least one condition of motion detection, window, or door being open must be true in various combinations.
  - If the system is armed and the occupants are away, the alert is more likely to trigger given certain conditions are met (as shown in rows 6-16).

This logical setup ensures that alerts are only triggered under defined security breaches when the system is armed and conditions warrant further action. This table is crucial for programming the logic in a house alarm system to accurately reflect desired security protocols.
Transcribed Image Text:**House Alarm System: Truth Table for Combinatorial Part** This truth table represents the logic operations for a house alarm system. It defines conditions under which the alarm system will activate an alert. Each column corresponds to a different sensor or system state: - **Motion1**: Sensor detecting motion in zone 1 (1 = motion detected, 0 = no motion). - **Motion2**: Sensor detecting motion in zone 2 (1 = motion detected, 0 = no motion). - **Window**: Sensor detecting the window status (1 = open, 0 = closed). - **Door**: Sensor detecting the door status (1 = open, 0 = closed). - **Armed**: System armed state (1 = armed, 0 = disarmed). - **Away**: Status indicating if the occupants are away (1 = away, 0 = home). - **Alert**: Final status indicating if the alert is triggered (1 = alert, 0 = no alert). ### Explanation: The table lists all possible combinations of inputs and their corresponding alert status: - In the first five rows, the alarm system is disarmed (Armed = 0), so no alert is triggered regardless of other conditions. - For the system to trigger an alert: - The system must be armed (Armed = 1). - At least one condition of motion detection, window, or door being open must be true in various combinations. - If the system is armed and the occupants are away, the alert is more likely to trigger given certain conditions are met (as shown in rows 6-16). This logical setup ensures that alerts are only triggered under defined security breaches when the system is armed and conditions warrant further action. This table is crucial for programming the logic in a house alarm system to accurately reflect desired security protocols.
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