When the Apple iMac goes to sleep the CC335A

A quick look at the HP web site for this printer shows that it only supports Max OS X 10.6 and later. These versions only support the intel processor based macs. Your PowerPC mac is, unfortunately, obsolete as far as Apple and the peripheral manufacturers are concerned and is not supported.

Go into System Prefs, Energy Saver and disable sleep for hard drives and display. If it still appears your computer is going to sleep, this may be a display problem, being caused by logic board, actual display or graphics card, all requiring a trip to the apple store for service.

Maybe you installed new anti-virus software? Or have you recently changed your router?

Though not too common, this does occur every once in a while on many Apple desktops/laptops. Usually an anomaly in the running processes gets stuck and prevents the system from awaking while sleeping.
To kill the processes, press and hold the power button for 7-10 seconds (or until the system powers off). Wait about 10 seconds and then power on the Mac.
I recommend performing a system update after logging onto the Mac and downloading any system & application updates available (and restart, if necessary, to complete).

When you say "screen goes black," does the computer power down, or is it still operating? Does the sleep light come on? Does it respond to the keyboard and mouse? (Example: press the power button momentarily, wait a few seconds for the "Do you really want to shut down" message to appear, even though you can't see it, then hit the return key to answer "OK," and see if it shuts down.) Does the screen go black or come out of black if you tap the computer?
While your computer is working, go to System Preferences / Desktop & Screen Saver, the Screen Saver tab, click Hot Corners, and set a corner of your screen to Put Display to Sleep. Then next time your screen goes black, mouse your way into that corner, pause a few seconds, then mouse back out and see if your screen returns.

Checking the reviews on the Internet HP Photosmart CC335A seems to be far better than the HP Officjet l7680. The main point is that the HP Officjet l7680 does not support Windows VISTA.

My HP photosmart c4580 will print from my computers via USB but anytime I try print wrelessly it tells me it is offline. After all the problems I have had with this printer going into deep sleep mode and the patch updates which seem to eliminate this problem I am now burdened by this,
Please help..

Without mac drivers you do have a problem. Put it on ebay and get another printer that supports mac and windows.

Assuming you are on a PC:
Go to your control panel in Windows, open the printers box, choose your printer by double clicking on it, then click on 'printer' on the left edge of that window. Scroll your mouse down to where it says 'use printer offline' and uncheck that option. This should release any documents you have waiting in the queue.

you will also need to check your manual on how to set its sleep function, as some printers like to go to sleep really quickly - and that causes Windows to think it is offline.

disconnect USB, go to RUN and type in services.msc and then find print spool and right click, then choose restart .plug in usb