I have a slow internet connection. To compare a copy of a large binary file I have locally (not in dropbox) to a version I may have in dropbox, it is useful to use md5sum/sha hashes to determine whether or not the file content is the same. It is not convenient however, to have to download the entire file contents to perform the checksum for comparison.
If the web interface and/or the desktop client provided a method to view one or more computed hashes of files stored in dropbox (without having to have a local offline copy) I could more easily decide whether or not I need to upload a newer version or download a newer version.