Analyze the following, draw the truth table, write the sum-of-products form, reduce using K-maps, and implement using the appropriate gates. A smart home lighting system that can be controlled based on four factors: The time of day (day or night). Whether anyone is in the room (occupancy sensor). The mode of the lighting system (manual or automatic) The status of the outdoor lighting (on or off). Let's assign the following variables: T: Time of day (1 if night, O if day) O: Occupancy (1 if someone is in the room, 0 if not) M: Mode (1 if automatic, O if manual) L: Outdoor lighting status (1 if on, O if off) The lighting system behaves as follows: If the mode is manual, the lights are always off, regardless of other factors. If the mode is automatic, the lights turn on if it's night and the room is occupied, or if it's night and the outdoor lights are off. If the mode is automatic, the lights turn off if it's day, regardless of other factors. Design a circuit that implements this logic.