On planet Z, a hybrid cooling system is to be built consisting of a cooling fan unit (F) and an air conditioning unit (C). You need to create a system that controls these two features depending on certain conditions. Assume that there are four sensors: Input (4 variables) T = 1 indicates that the temperature is high, 0 if not H = 1 indicates it is humid, 0 if not D = 1 indicates that it is day, 0 if night W = 1 indicates it is winter, 0 if not  [Note: You need to maintain the input order as THDW with T as the MSB and W as the LSB] Output (2 variables) F = 1 indicates that the cooling fan unit is ON C = 1 indicates that the Air Conditioning Unit is ON. You have to consider the following conditions: 1.The operation of the Air Conditioner requires a high temperature but the cooling fan works at all temperatures. 2. The Air Conditioner will ONLY work at night and the cooling fan will work during both day and night. 3. C always takes priority over F, both the cooling fan and Air Conditioner cannot be ON at the same time. 4. The cooling fan is turned ON when it is winter. 5. The Air Conditioner is turned ON when it is humid 6. It’s not possible to be humid during winter. 7.  When it's neither humid nor it is winter, in this case, either F or C will be ON only when it is night. You need to consider the previous conditions to determine which unit will be ON. Draw the truth table for the scenario above. Using the Karnaugh-Map Method, find the required simplified SOP expression for the given outputs.

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On planet Z, a hybrid cooling system is to be built consisting of a cooling fan unit (F) and an air conditioning unit (C). You need to create a system that controls these two features depending on certain conditions.

Assume that there are four sensors:

Input (4 variables) T = 1 indicates that the temperature is high, 0 if not

H = 1 indicates it is humid, 0 if not

D = 1 indicates that it is day, 0 if night

W = 1 indicates it is winter, 0 if not 

[Note: You need to maintain the input order as THDW with T as the MSB and W as the LSB] Output (2 variables)

F = 1 indicates that the cooling fan unit is ON

C = 1 indicates that the Air Conditioning Unit is ON.

You have to consider the following conditions:

1.The operation of the Air Conditioner requires a high temperature but the cooling fan works at all temperatures.

2. The Air Conditioner will ONLY work at night and the cooling fan will work during both day and night.

3. C always takes priority over F, both the cooling fan and Air Conditioner cannot be ON at the same time.

4. The cooling fan is turned ON when it is winter.

5. The Air Conditioner is turned ON when it is humid

6. It’s not possible to be humid during winter.

7.  When it's neither humid nor it is winter, in this case, either F or C will be ON only when it is night. You need to consider the previous conditions to determine which unit will be ON. Draw the truth table for the scenario above.

Using the Karnaugh-Map Method, find the required simplified SOP expression for the given outputs.

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