There is no "button" to move things to ucs 0. You would have to use translate in concert with entity summary. It would be different depending on the geometry.

For solids, you will have to calc the center bounds from the min/max of the xyz's. If it is 2d planar stuff, there will be a center of the bounds in the summary readout.
Then you would use translate-sketch/enter-start enter, end enter, and enter the coords of the center in the start area and zero out the end.

For other corners and such, you can use pick points of objects, and use start-pick, to zero the part.