The Contacts are located in the store files on the Exchange server. The best way to copy them is to export them. If you are using Outlook on your home computer you can export to a .PST file, otherwise you can use an Excel file format, or a Tab delimited format.
1) In Outlook, go to File->Import and Export
2) Choose 'Export to a file' and click Next
3) Choose the file type and click next
4) Choose the Contacts folder you want to export and click next
5) Choose the name/location of the file and click next
6) Confirm the export by clicking Finish
Now just take this file to your home machine and import it as appropriate to your software.