(Logic Circuits) An alarm system for an electric heater.
Specification:
Temp (T) is 0 when temp is normal and 1 when temp is exceeded.
Pressure (P) is 0 when normal and 1 when exceeded.
Electricity (E) is 0 when off and 1 when the electric heater is on.
Valve (V) is 0 when the valve is closed and 1 when open.
Conditions to be met:
The alarm will output 1 (TRUE) when:
T is 1 and E is 1
P is 1 and E is 1
P is 1 and V is 0
Questions:
1) Devise a logic expression for the state of the alarm. Draw the circuit using the necessary gates.
2) Use Boolean Algebra to simplify this expression, and redraw it only using NAND gates.
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