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A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles
- a)an AND gate
- b)an OR gate
- c)an XOR gate
- d)a NAND gate
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A bulb in a staircase has two switches, one switch being at the ground...
**Explanation:**
The logic of switching the bulb in this scenario resembles an XOR gate.
**XOR Gate:**
An XOR (exclusive OR) gate is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. It returns false (0 or LOW) when the number of true inputs is even.
**Switch Control:**
In this scenario, there are two switches controlling the bulb. Let's label them as Switch A (ground floor) and Switch B (first floor).
- If both Switch A and Switch B are in the OFF state, the bulb remains OFF.
- If Switch A is ON and Switch B is OFF, the bulb turns ON.
- If Switch A is OFF and Switch B is ON, the bulb turns ON.
- If both Switch A and Switch B are ON, the bulb remains OFF.
**Truth Table:**
| Switch A | Switch B | Bulb State |
|----------|----------|------------|
| 0 | 0 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 1 | 0 |
From the truth table, we can observe that the bulb turns ON only when there is an odd number of switches in the ON state.
**Explanation:**
- If both switches are OFF, the bulb is OFF. This corresponds to the 0 state in the truth table.
- If either one of the switches is ON, the bulb turns ON. This corresponds to the 1 state in the truth table.
- If both switches are ON, the bulb is OFF. This corresponds to the 0 state in the truth table.
Therefore, the switching logic of the bulb in this scenario resembles an XOR gate, where the bulb turns ON only when there is an odd number of switches in the ON state.
The logic of switching the bulb in this scenario resembles an XOR gate.
**XOR Gate:**
An XOR (exclusive OR) gate is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. It returns false (0 or LOW) when the number of true inputs is even.
**Switch Control:**
In this scenario, there are two switches controlling the bulb. Let's label them as Switch A (ground floor) and Switch B (first floor).
- If both Switch A and Switch B are in the OFF state, the bulb remains OFF.
- If Switch A is ON and Switch B is OFF, the bulb turns ON.
- If Switch A is OFF and Switch B is ON, the bulb turns ON.
- If both Switch A and Switch B are ON, the bulb remains OFF.
**Truth Table:**
| Switch A | Switch B | Bulb State |
|----------|----------|------------|
| 0 | 0 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 1 | 0 |
From the truth table, we can observe that the bulb turns ON only when there is an odd number of switches in the ON state.
**Explanation:**
- If both switches are OFF, the bulb is OFF. This corresponds to the 0 state in the truth table.
- If either one of the switches is ON, the bulb turns ON. This corresponds to the 1 state in the truth table.
- If both switches are ON, the bulb is OFF. This corresponds to the 0 state in the truth table.
Therefore, the switching logic of the bulb in this scenario resembles an XOR gate, where the bulb turns ON only when there is an odd number of switches in the ON state.
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Community Answer
A bulb in a staircase has two switches, one switch being at the ground...
OR gate is the answer. they mentioned that irrespective of other switch, that means if you take OR gate you will get all term as 1 except both input as zero. But if you take EXOR gate when 1st switch is ON, if you make another switch also as ON it will give zero as a result that is bulb is in OFF condition.
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A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resemblesa)an AND gateb)an OR gatec)an XOR gated)aNAND gateCorrect answer is option 'C'. Can you explain this answer?
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