Sometimes with Bit, if you plug it into power, hold the power button down for 10-20 seconds, then push it 5-10 times, it may jump start the battery. Immediately after doing this, plugging the charge cable into an alternate USB port or power adapter, may jump start it as well.
If the Bit has a constant light on top, allowing the battery to completely drain (light should go out), and then trying the above, may also help.