I then removed some wire from an old power supply (this one was from an old cordless phone)and wired up the negative and positive leads from the light housing and put some shrink tubing on for good measure.
I wanted everything to look nice so I kept the rubberized molded end from the wire and cut some notches on the housing so when I closed them up, everything would look nice and neat. you don't have to go through all this trouble but it makes it look nice.
I also hot glued the wires a little to the casing so they would not pull out.
After this, you can wire the box up any way you like. I bought the box at a local surplus store and the original wires that were sticking out were pulled back in and cut down so I had room to fish the new wire inside. I tied a not with the new wire inside the box so it could not be accidentally pulled out.
I also had a broken tape measure that I kept around so I took the belt clip part and added it to my battery box with a small nut on the back so it would not come off. I'm a pack rat at times but some things do come in handy and it also helps to reduce all this junk we throw out!