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Yes.You can connect the GBA to your GameCube with a cable that costs around 6 dollars.
WITH AN "S CABLE"
the best cable would be an optical digital cable
port
Connect the audio output of the cable box to the input of the home theater system. If both systems have digital connectors, use them.
An auxiliary cable serves to connect a portable device to a sound system. For example, a phone or a portable mp3 player can be connected to the stereo system in a car with the aid of an auxiliary cable.
A cable wire that looks like a Y is needed to connect a laptop to a stereo. This cable allows you to use the single output jack on the laptop to connect to the left and right inputs on the stereo.
The size doesn't change anything. Its how you connect the console to the TV. You will have a standard VGA connect, HD cable or HDMI cable. Your TV will provide you with ether a VGA cable (none HD tv) or a HD/HDMI cable (HD ready or Full HD 1080p)
An optical cable is used to connect the audio out of the Xbox to the LHT854.
You would need a U-8 USB cable to connect a laptop to a Kodak easyshare camera. The fitting on this cable is a little smaller than the standard USB 2.0. A U-8 USB cable is easily available from suppliers such as Amazon.
An HDMI cable is used to connect two high definition devices together. They offer a better sound and picture quality than one would have without the cable. They are usually used to connect and HDTV to a home theater system.
I believe optical audio cable is the best choice for your tv system as long as you will be able to connect it properly to yout tv system and you got all you need.