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Q#1 Boolean Algebra GATE EE 2013 MCQ +1 mark -0.33 marks

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        

an AND gate

an OR gate

an XOR gate

a NAND gate

Explanation:

Bulb (ON) 1

Bulb (OFF) 0

If both switches are operated bulb will remain in previous state

If either switch is operated bulb change its state

Let the switches be S1 S2 and bulb states Y.

Case-1

Untitled-30.png

We can see that this truth table resembles XOR gate

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