Stair lighting in a three-storey apartment is made with a key switch on each floor. All of the lamps turn on and off according to the position of the switches. The switches on the floors are denoted by X1 , X2 , X3 and the lamps with L. The closed state of the switches is '1' and the open state is '0', the lamp's burning position is '1' and the dimmed position is '0'. Working status is as follows: The lamp is not lit when all 3 switches are in the open position. If any of the switches close the circuit the lamp will light. If two switches close the circuit, the lamp will not light. The lamp will light up if all three switches are off. i- Create the truth table of the circuit. ii- Make reductions using the Karnaugh diagram. iii- Design the circuit by using the MUX element by taking the selection inputs of the circuit (X1 , X2).

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Stair lighting in a three-storey apartment is made with a key switch on each floor. All of the lamps turn on and off according to the position of the switches. The switches on the floors are denoted by X1 , X2 , X3 and the lamps with L. The closed state of the switches is '1' and the open state is '0', the lamp's burning position is '1' and the dimmed position is '0'. Working status is as follows:

The lamp is not lit when all 3 switches are in the open position. If any of the switches close the circuit the lamp will light. If two switches close the circuit, the lamp will not light. The lamp will light up if all three switches are off.

i- Create the truth table of the circuit.

ii- Make reductions using the Karnaugh diagram.

iii- Design the circuit by using the MUX element by taking the selection inputs of the circuit (X1 , X2).

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