A temperature sensor produces following inputs to controller 4-bit Input Code Temperature <15° 15° Action 0000 0001 heat on, fan on high 16° 0010 17° 0011 18° 0100 heat on, fan on low 19° 0101 20° 0110 heat off, AC off 21° 0111 22° 1000 23° 1001 AC on 24° 1010 25° 1011 >25° 1100 The controller should control furnacel AC unit with 3 outputs with the objective of keeping the temperature at 20 degrees Temp Heater Controller Sensor or AC H (heat+fan on/off) F (fan low/high) C (AC on/off) 1 = on, 0 = off 0 = low, 1 = high 1 = on, 0 = off Step 1: Name the 4 bit-input code as W,XY,Z or A,B.C,D. Reduce the logic to truth table with don't care conditions. Step 2: Solve for K map for Heater, Fan and AC Step 3: Draw the resulting logic.

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A temperature sensor produces following inputs to controller
4-bit Input Code
Temperature
<15°
Action
0000
15°
0001
heat on, fan on high
16°
0010
17°
0011
18°
0100
heat on, fan on low
19°
0101
20
0110
heat off, AC off
21°
0111
22°
1000
23°
1001
AC on
24°
1010
25°
1011
>25°
1100
The controller should control furnace/ AC unit with 3 outputs with the objective of keeping the
temperature at 20 degrees
Temp
Heater
Controller
Sensor
or AC
H (heat+fan on/off) 1= on, 0 = off
F (fan low/high)
C (AC on/off)
0 = low, 1 = high
1 = on, 0 = off
Step 1: Name the 4 bit-input code as W,XYZ or A,B.C,D. Reduce the logic to truth table with don't care
conditions.
Step 2: Solve for K map for Heater, Fan and AC
Step 3: Draw the resulting logic.
Transcribed Image Text:A temperature sensor produces following inputs to controller 4-bit Input Code Temperature <15° Action 0000 15° 0001 heat on, fan on high 16° 0010 17° 0011 18° 0100 heat on, fan on low 19° 0101 20 0110 heat off, AC off 21° 0111 22° 1000 23° 1001 AC on 24° 1010 25° 1011 >25° 1100 The controller should control furnace/ AC unit with 3 outputs with the objective of keeping the temperature at 20 degrees Temp Heater Controller Sensor or AC H (heat+fan on/off) 1= on, 0 = off F (fan low/high) C (AC on/off) 0 = low, 1 = high 1 = on, 0 = off Step 1: Name the 4 bit-input code as W,XYZ or A,B.C,D. Reduce the logic to truth table with don't care conditions. Step 2: Solve for K map for Heater, Fan and AC Step 3: Draw the resulting logic.
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