Lost AC Adaptor Fuji Finepix F20

Fuji FinePix Z2 Digital Camera

lens retracts fully into the body and is protected by an automatic metal cover - no more lost or dangling lens caps.
The F410 Zoom makes use of the new xD-Picture Card media that is smaller than a postage stamp. Fuji supplies a 16MB card and they are available now up to 256MB. The F410 is powered by a small proprietary lithium rechargeable battery. This battery pack performed well in our use and if the color LCD is used sparingly, I see no problem with the battery delivering enough power for a conservative day's use. As with any camera that uses a proprietary battery pack, it is always a good idea to purchase and carry a charged spare at all times. The included power supply / charger is an auto switch type and operates on 100-240V AC which is convenient when traveling. It charges the battery in 3 hours (or less) while in the camera and also functions as an AC power supply for extended use at home. The battery is also charged any time the camera is placed in the optional camera dock.

see this causes and proceed . God bless you
If the camera won't turn on, check the batteries, or connect the camera to an AC adapter. If that doesn't work, remove all batteries, disconnect the AC adapter, wait a minute, reinsert batteries and reconnect the adapter.
If the flash doesn't work, the camera won't take pictures, or the screen keeps turning off, check that the batteries are strong.

Since the A500 uses Alkaline AA or rechargeable AA sized batteries, you can purchase an aftermarket battery charger for between 8-15 dollars at the local electronics houses.
You can also swap over and use AA alkalines without any issue.

Fujifilm Finepix F20 LCD DISPLAY SCREEN NEW Fuji OEM fd on eBay (end time 07-Sep-09 11:00:12 BST)

the url for the software download is:

http://www.fujifilmusa.com/support/ServiceSupportBrowse.do?prodcat=856005&sscucatid=664260

If this helped you, please leave me good feedback. thanks

Both are discontinued models, so I can't recommend either. The "F" series are better cameras than the "Z" series, from a technical and build-quality standpoint. Look for an Ffd or an F100fd model. Both are current models, and add many features to the series of Fuji Finepix models.

Fuji FinePitteryx refuses to power up,even after new lith. batteries were installed

I'm sorry, it will not. You will need to use the ac adapter to charge the battery. Here is Fuji's link to all about your F20:

http://www.fujifilmusa.com/JSP/
fuji/epartners/ServiceSupportProduct.jsp?prodcat=856005

Maybe, maybe not. You can try using Windows properties to fix an error. If that doesn't work, try image recovery software, which is usually downloadable from the net. You then run the software on the card and hopefully your images are readable. Save them to CD or hard drive, and format the card in the camera to remove bad or fragmented data.

you have most likely fried the internal circuits of the camera. Buy a new one. The $100 will be well spent vs trying to fix this issue