Question 2 (a) a) 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. (b) The Karnaugh map method is very commonly used for the simplification of Boolean expressions, since no algebraic rules are applied in this method. It is simply a graphic method and provides systematic approach for getting the simplified Boolean expression. Kindly Minimize the logic function Y (A, B, C, D) = Σm (0 1, 2, 3, 5 7, 8, 9, 11, 14). Use Karnaugh map. Draw logic circuit for the simplified function. (c ) A multiplexer (MUX) also known as data selector, is a logic circuit which allows the digital information from multi-inputs to a single output line. Design a 4 to 1 Multiplexer by using the three variable functions given by F (A, B, C) = Σm (1, 3, 5, 6)
Question 2
(a) a) 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.
(b) The Karnaugh map method is very commonly used for the simplification of Boolean expressions, since no algebraic rules are applied in this method. It is simply a graphic method and provides systematic approach for getting the simplified Boolean expression. Kindly Minimize the logic function Y (A, B, C, D) = Σm (0 1, 2, 3, 5 7, 8, 9, 11, 14). Use Karnaugh map. Draw logic circuit for the simplified function.
(c ) A multiplexer (MUX) also known as data selector, is a logic circuit which allows the digital information from multi-inputs to a single output line.
Design a 4 to 1 Multiplexer by using the three variable functions given by
F (A, B, C) = Σm (1, 3, 5, 6)
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