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My Coolpix s203 says battery exhausted when it powers on. But when I plug it in, it doesn’t charge or connect

The Coolpix S230 is a older camera, and if you have never replaced the battery sice you first got the camera it might be completely worn down, hence “battery exhausted”. A worn down battery does not hold a charge, but may also not even accept a charge. I would recommend that you try with a new battery. A new battery for this model sems to be quite cheap, see; https://www.amazon.com/Nikon-Coolpix-S23