Huk Family
Apr 18
Derive acircuit usinglogic topeform thefollowing function "allow the door of darkroom to be open only if the safe light and enlarger light are both off and the main light in the darkroom is on"?
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ChatGPT
Apr 18
To create a circuit that allows the door of a darkroom to be open only if the safe light and enlarger light are both off and the main light in the darkroom is on, we can use a combination of AND and NOT gates.
Let's denote the safe light as A, the enlarger light as B, and the main light as C. The desired function can be represented as:
Door = (NOT A) AND (NOT B) AND C
To implement this function using logic gates, we can use the following circuit:
1. Connect the output of a NOT gate to input A.
2. Connect the output of another NOT gate to input B.
3. Connect the output of an AND gate to the outputs of the two NOT gates and input C. This will give us the desired output for the door.
This circuit will ensure that the door of the darkroom can only be open if the safe light and enlarger light are both off, and the main light in the darkroom is on.
Let's denote the safe light as A, the enlarger light as B, and the main light as C. The desired function can be represented as:
Door = (NOT A) AND (NOT B) AND C
To implement this function using logic gates, we can use the following circuit:
1. Connect the output of a NOT gate to input A.
2. Connect the output of another NOT gate to input B.
3. Connect the output of an AND gate to the outputs of the two NOT gates and input C. This will give us the desired output for the door.
This circuit will ensure that the door of the darkroom can only be open if the safe light and enlarger light are both off, and the main light in the darkroom is on.
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Google Gemini AI
Apr 18
Circuit Diagram:
[Image of a circuit diagram with the following components:
- Two switches labeled "Safe Light" and "Enlarger Light"
- One switch labeled "Main Light"
- One relay labeled "Door Lock"
- Two resistors
- One power supply]
Operation:
- When the safe light and enlarger light are both off (switches open), and the main light is on (switch closed), the door lock relay is energized (coil current flows).
- The energized relay coil closes the relay contacts, allowing current to flow through the door lock.
- The door lock is released, allowing the door to be opened.
- When any of the three switches are in the opposite state, the relay is de-energized and the door lock is activated, preventing the door from being opened.
Logical Expression:
```
Door Lock = (NOT Safe Light) AND (NOT Enlarger Light) AND Main Light
```
Truth Table:
| Safe Light | Enlarger Light | Main Light | Door Lock |
|---|---|---|---|
| 0 | 0 | 1 | 1 |
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 0 | 0 | 0 |
| 1 | 1 | 1 | 0 |
| 1 | 1 | 0 | 0 |
[Image of a circuit diagram with the following components:
- Two switches labeled "Safe Light" and "Enlarger Light"
- One switch labeled "Main Light"
- One relay labeled "Door Lock"
- Two resistors
- One power supply]
Operation:
- When the safe light and enlarger light are both off (switches open), and the main light is on (switch closed), the door lock relay is energized (coil current flows).
- The energized relay coil closes the relay contacts, allowing current to flow through the door lock.
- The door lock is released, allowing the door to be opened.
- When any of the three switches are in the opposite state, the relay is de-energized and the door lock is activated, preventing the door from being opened.
Logical Expression:
```
Door Lock = (NOT Safe Light) AND (NOT Enlarger Light) AND Main Light
```
Truth Table:
| Safe Light | Enlarger Light | Main Light | Door Lock |
|---|---|---|---|
| 0 | 0 | 1 | 1 |
| 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 1 | 0 | 0 | 0 |
| 1 | 1 | 1 | 0 |
| 1 | 1 | 0 | 0 |
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