You are designing a digital smart home device that can automatically inject medicine for patients. The app has 4 inputs (a, b, c, d) and 2 outputs (fl, f2), where: a=room temperature (high-1, low =0), b= humidity level (high-1, low =0), c-Light level (Low level-1, Normal =0), d= motion activity level (1-high, 0-Normal), fl Air Conditioner (1= turn on, 0-turn off), f2 = lighting system (1= turn on, 0-turn off). The rules of the systemare: a. If high room temperature and high humidity level: your system will turn on Air Conditioner. b. If high light level and high motion activity level: your system will turn on the lighting system. c. Except for the two cases explained in point (a) and (b), the Air Conditioner and the lighting system will be turned off. 1) [10 points] Build the truth table for the digital smart home system explained above. 2) [10 points] Using K-map to find the most simplified Sum of Product (SOP) for both Boolean functions fl and f2. Activate Windo 3) [10 points] Draw the logic circuit for Boolean function fl and 2 using basic gates only o Settings to a 4) [10 points] Draw the logic circuit for Boolean function fl and f2 using NAND gates only