>>23
It would be even worse. If we compress data until it has size zero, we place a lot of information on one place (the byte). This has consequences for the data center and finally earth.
The place should be shimmering hot, because we pumped away a lot of entropy. Expect molten racks and metal streams.
Also the server where the compression is happening, should pick up mass. As the information get compressed further and further and we keep feeding the server information, the one byte we stove everything in gets more heavy and heavy, until it starts to bend space time and suck the whole hard disk in a point where information cannot escape from (at least not severely distorted/computed). The disk then start to fall through the computer array into the earth, feasting on everything beneath the crust.
But it is improbable you get to this point, because the added mass will simply crush the disk before it reaches its end destination.
As a consequence of this, there is a simple proof that infinite compression is not reachable. The information black holes can be store is related to the size of their surface. This is the natural limit of information compression. No further compression is possible.