Question
Download Solution PDFA staircase light is controlled by two switches, one at the top of the stairs and the other at the bottom of the stairs, such that the light is ON when and only when one of the switches is ON and the other switch is OFF. What will be the logic equation in SOP form?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet the switch at the top of the stairs be labelled 'A' and the switch at the bottom be labelled as 'B'.
The truth table for the required response is as shown:
|
Switch A |
Switch B |
Y |
|
0 (OFF) |
0 (OFF) |
0 (OFF) |
|
0 (OFF) |
1 (ON) |
1 (ON) |
|
1 (ON) |
0 (OFF) |
1 (ON) |
|
1 (ON) |
1 (ON) |
0 (OFF) |
The expression for the Output Y in SOP form will be:
Y = A̅ B + A B̅
This is the output expression for an XOR gate.
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