a) A staircase light is controlled by two switches one at the top of the stairs and another at the bottom of stairs (i) Make a truth table for this system. (ii) Write the logic equation in an SOP form. (iii) Realize the circuit using AND-OR gates

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(a) A staircase light is controlled by two switches one at the top of the stairs
and another at the bottom of stairs
(i) Make a truth table for this system.
(ii) Write the logic equation in an SOP form.
(iii) Realize the circuit using AND-OR gates 
(b) Mr. jojo, lives in a four-flat house, the conditions of the lighting system was
very bad and he needs help. He wants the design to be as follows, a
combinational circuit that controls the ceiling lights in my downstairs hallway,
which has three wall switches: one at the front door (A), one at the back door
(B) and one in the family room (C). When I walk in the front door, the ceiling
lights are off, the A switch is ON and both the B and C switches are OFF, From
these initial conditions, changing the position of any switch should turn the
lights on; changing the position of any switch (again) should turn the lights off,

(c) What is the purpose of Karnaugh map and its limitations?

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