Just right click My computer and then select properties. Now go to the computer name tab and there you will be able to see the full computer name.
Some times when you browse folders in details view, the view may be cluttered and you might want to resize the column widths manually to get the complete details fit in a single screen in the horizontal direction so that you need not use the horizontal scroll bar to view the details which are off screen. Alternatively, Windows Xp provides an automatic way to adjust column width. Just select any row in the list and press they key combination, “ctrl + ‘+’of the numeric key pad”.