How can I hook my computer up to my home stereo.

Hello doonoak-ga,

Thank-you for your question.

Connecting your computer to your home stereo system is very simple to
achieve.  What you require is a home stereo that allows INPUT into the
home stereo (not all have this capability) and a cable that costs very
little from your local electrical store (such as Radio Shack).

It is then a simple matter of plugging the cable into the INPUT
sockets on your home stereo and the other end of the cable into the
output of your soundcard on your PC.

There is an excellent step-by-step guide here:
http://www.hardwaresecrets.com/printpage/259

Other smaller guides include the following:
"To connect the audio output of your computer, you should use the
"line" output of your sound card. You use a 3.5mm mini phone plug to
Rca jack adapter with a RCA jack stereo cable which goes to the audio
input of your sound system, such as the "aux" input, or if you want to
use your computer to record audio from your sound system as well, you
should use the "tape in" and "tape out" jacks. Most audio systems have
two tape ins and outs so you can use your computer as a tape recorder
as well as a regular cassette deck."
http://www.ramelectronics.net/html/howto-pc-audio.html

"Please consult your sound card instruction booklet as you follow
these instructions. First verify the plug on the back of your sound
card that is Line Out (it is blue on many sound cards but please make
sure). (Hopefully your sound card has a separate plug other than the
one your speakers are connected to, if not make absolutely sure its
not a powered plug before making your connection.)  Next, verify that
you have an AUX or another input on your home stereo that you're not
using. - You will need the following cable which you can get these at
any RadioShack, or any computer store. [...] Now that you have your
cable and have determined the correct connections , With your computer
power off and your home stereo power off. Plug the black end of the
cable into the Line Out of your sound card. Now run the cable to your
stereo. Next connect the standard Males Plugs into your Left and Right
Aux inputs on your stereo. Turn your stereo on with sound turned down,
and select the AUX input. Then start your computer Up."
http://www.bresso.com/connect-computer-to-stereo.shtml

There are also commercial products available such as: 
http://www.pcstereolink.com/

If you require any further assistance on this subject please do not
hesitate to ask for clarification.

This is one of several examples of (much more expensive) ways to
wirelessly connect the computer and stereo. This is not nearly as
"plug and play" - you have to use a supported program on the computer,
like iTunes, and have a wireless router. It does make for a slick way
to play your computer's music through any stereo in your house, and
the stereo doesn't have to be near the computer. I use the M500, and
while it can take some time and trouble shooting to set up, when it's
done, it works well. Read the user boards at the Roku site before you
take the plunge, to see problems others have had before you take an
expensive plunge. It also plays internet radio stations.

http://froogle.google.com/froogle?q=roku+soundbridge&num=30&hl=en&lr=lang_en&newwindow=1&safe=off&rls=GGLG,GGLG:2005-20,GGLG:en&sa=N&tab=ff&oi=froogler

Another item I tried at the time was USB to RCA connector. It was very
cheap - only $30 - but it was full of distortion, and I couldn't begin
to recommend that. This solution palitoy has is great tho - I can't
imagine it would have the distortion problems.