2 way staircase switch-truth table logic equation & circuit, Computer Engineering

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A staircase light is controlled by two switches one at the top of the stairs and another at the bottom of stairs

a. Make a truth table for this system.
b. Write the logic equation is SOP form.
c. Realize the circuit using AND-OR gates.

Ans.

A staircase light is controlled through two switches that are S1  and S2, one on the top of the stairs and the other at the bottom of the stairs. In fig.(a) the circuit diagram of the system is shown.

548_Make truth table & logic equation & circuit of staircase light.png

Fig.(a) Circuit diagram
a. The truth table for the system is illustrated in given truth table

S1

S2

L

0

0

0

0

1

1

1

0

1

1

1

0

b. The logic equation for given system is specified by L = S1‾ S2 + S1  S 2
c. Realization of given case, the circuit using AND-OR gates is demonstrated in fig (b)

883_2 way staircase switch-truth table logic equation & circuit.png

Fig.(b) Logic Diagram for the system


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