What Wires Do I Need To Connect The Speakers - Sharp HTDP2500 System

All you need is some speaker wire long enough to get to each of the speakers your running. Use larger gauge if your running big speakers hard and/or over longer distances. Otherwise a medium gauge (16) will do fine.
You'll also need all the cables required to connect external components.

Gateway computer is the only retailer of these speakers as of June 2003.
You need to provide more info about what connectors are available and how mant orange black wires you have.

Each speaker has two 4 Ohm drivers. Each speaker has a connector with 4 pins. From left to right they are + - - +. Say 1 2 3 4 . If you want a 8 Ohm speaker connect 2 and 4 together. Now 1 goes to your amplifier (+) and 3 to your amplifier (-). In yor case join black with blue. Now red goes to the amplifier red and green to the amplifier black.

use audio grade copper wires . .

black is ground, red is hot, yellow is memory,blue is activation wire for amps or antena ,speakers are green ,gray and white ,and purple negetive and positive wires to each of those colors .

You have not mentioned -- connect it to what ???. Assuming that its an AV receiver. Start by connecting the front three speakers to the the amplifiers speaker sockets labeled Left front / Center / Right Front. These are connected using three short wires. Then connect the two surround speakers using the pair of long speaker cables. You will need a RCA to RCA cable to connect the subwoofer to the Receivers subwoofer preamp out.The subwoofer also requires an A/C wall socket to power it.

are the two connectors on the speaker itself i belive you need two diiferent cables coming from the radio ect

what yu can do to make it work
connect the bottom connectos to the top connectors keeping the polatrity the same though

If the speaker you want to connect is from other devices(not a computer speaker )then you need an amplifier .Connect the speaker to the amp. then connect the laptop(output) to amplifier (input)the cable you need is "dual RCA male to 3.5mm male audio" .here is the link to view the cable that you need.

http://www.cablesnmor.com/rca-mini-stereo.html

You don't need to change the cables from the head unit on.  Just strip of the end of the wires where the old speakers are and crimp on the proper connectors to connect them.  Alternatively you can just solder the wires directly to the speakers.  I always **** splice at least 6" of wires onto the end so you have more wire to work.  The only reason you would change the wires would be because you are putting more than 200 watts per channel.  You didn't speak of an amp so no worries.
James Mac