I can't find anywhere a comparison between TBC and TBC HCE.
So what TBC HCE can do that TBC full edition cannot and vise versa?
The TBC Feature Matrix can be seen here: http://trl.trimble.com/docushare/dsweb/Get/Document-812760/FeatureMatrix%20-%20Trimble%20Business%20Center%20-%20English.pdf
This can be accessed by following the link from TBC help searching for 'Licensed Features':
The BC-HCE Feature Matrix can be downloaded from the following link: https://www.myconnectedsite.com/site/TrimbleHHCommunity/BC-HCEToursandTutorials/
BC-HCE customers can get to this spreadsheet from the BC-HCE start page > Tours and Tutorials button > # Reference and White Papers > Reference - Licensed Features