If your car's engine is still running (with a dead battery), then yes, the air conditioning will still work. The fans of the ventilation system is driven electrically from power generated by the alternator. The compressor is driven off a belt and in recent fuel economy minded cars, by electricity off the alternator.
However, the show's over once the engine is switched off. You won't be able to start it by electric cranking the next time.
If your car has a manual transmission, you can still start the engine by push starting (i.e. rolling down a hill in neutral till you attain a high enough speed and releasing the clutch with the 2nd gear engaged).
The only time when the air conditioner stops functioning with a running engine is when the auxiliary belt (aka serpentine belt or fan belt) breaks.
air conditioner when on runs battery dead
Check for dead or weak battery Check battery cables - must be tight and clean (both ends) Check fuses Check power distribution box if any
the battery is flat
the Air conditioning would have to work harder - its a guess depends if the gauge is showing Battery Life or Battery Output
For most cars the air conditioning is powered by a belt from the engine and even if the car is only idling it will be running without any meaningful effect on the car's battery. For some hybrid drive cars the air conditioning is powered electrically, so that it can work even with the engine off. These will drain the car's battery some, but the air conditioning controller will automatically turn off the air conditioning before this becomes a problem then turn it back on as soon as the engine is automatically restarted when it is again needed to drive the car.
the air conditioning cycle
no..
under the battery
The air conditioning uses up the battery power.
No electricity
i give up, why? wait... isn't this a riddle?
The flashing warning light may be an indication that the air conditioning system is drawing too much power from the battery. A weak battery or alternator can be the cause of this problem.