What is the Difference between banking and electronic banking?

none, even the old system or even the hawala banking uses electronic means. While you can find banks in some countries which still have a book and cards and even handwriten notes, but execution of a wire transfer or payments or letters of credits and guarantees is now a days electronic because the Central Bank controlled settlement or execution of financial activity requires it.

The old traditional banking requirements still apply, just the details and data is stored electronically, paperwork is still done by hand mostly.