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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.
Fig.(a) Circuit diagrama. The truth table for the system is illustrated in given truth table
S1
S2
L
0
1
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)
Fig.(b) Logic Diagram for the system
state function and path function
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