consider a simple thermostat controller with three inputs and twooutputs. the inputs consist of two user-operated swutches(A,W) and one temperature sensonr T. T=1and T=0 mean the actualroom temp is above and below the desired value, respectively. the output C= 1 and C=0 turns the cooling system on and off,respectively. The output H=1 and H=0 turns the heating systemon and off, respectively. The behavior of the thermostat controllershould be:
Authomatic Mode(A=1)
1. Heat is turned on if W=1 and the room is too cold. once the roomis warm enough the heat is turned off.
2. Cooling is turned on if W=0 and the room is cool enough, thecooling is turned off.
Manual Mode (A=0)
1. The heat remains on as long as W=1
2. The cooling remains on as long as W=0.
a. build a truth table listing the inputs(A,W,T) and outputs(G,H)
b. draw a k-map for C , derive a simplified expression suitable for implmentation with three 2-input NOR gates, and sketch the gate diagram. Do not assume complmented inputs are available.
c. draw a k-map for H , derive a simplified expression suitable for implmentation with three 2-input NOR gates, and sketch the gate diagram. Do not assume complmented inputs are available.