If there is any need for exporting contact from Facebook, there is few apps on the Facebook Apps directory that can transfer your friends contact information out of Facebook.
An app called “Export Friends” will save you friend’s names, city, birthday and their current location in a CSV (text) file that you then import into Excel, Gmail or any other web email program. There also many plugins for syncing your contacts with outlook. But there is no app for email and phone number download. This can be done with some Greasemonkey scripts and other hacks that can pull this information from Facebook through “web scraping” but don’t ever think about this because Facebook team will ban your account forever.
So here is a perfectly legal way to download all your friends email addresses from. If you have yahoo account, log in into address.yahoo.com and on tab contacts/tools/import click the Facebook icon. When login dialog pop-ups, just sign-in with your Facebook account and within seconds, you entire Facebook address book will be available inside your Yahoo Mail Account. Once the import is done, you can download a CSV file by clicking here.
Now, you can import the CSV file into Gmail Contacts, LinkedIn, your phone address book or any of the social sites where you want to connect with your existing Facebook friends.