Digital barometers are only meant to last eight years. In that time you may need to replace batteries and toward the end the liquid crystals will decay and the display will fade. Replacement of the crystals is the only means of repair.
How do you tell if a barometer is broken?
Hold the instrument at the 45-degree angle and check the the level of the mercury in the glass tube with a long "stick" barometer. If the barometer is working correctly, the mercury inside will rise quickly to fill the very tip of the tube, leaving no air bubble.
What does it mean when a barometer doesnt move?
Your main concern in reading a barometer is whether the pressure is rising or falling. If the needle does not move it would mean that the barometer is "holding steady" and similar weather conditions should continue.