When the battery runs dry, you can still use your Beoplay H8 as passive headphones by connecting them through a mini-jack cable. When the mini-jack cable is plugged in, noise cancellation is deactivated and the touchpad cannot be used. You can also charge the headphones through a USB cable. While charging through USB, Bluetooth and noise cancellation is fully functioning and the touchpad can be used.
You can learn how to replace the battery of your Beoplay H8 here.