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I need help with an LED lamp. I want it to cycle through colors and white with a small button. I'm not good at math or science so I need help figuring out the watts and rechargeable battery power and a lot more. If you could message me we could talk through a private message. The lamp will cycle through red yellow green blue white.

The easiest way to do this is to use a multicolor LED with a built in computer chip which does the job for you. Just apply power and it works. Look up color changing LED.

Now if you want control over the colors and when they turn, you are talking about a bit of electronics.

How many hours do you want to run this?

Your power needs depend on that question. But most LEDs use only about 3.2 volts max and just a few mA of power so it can be run off a flashlight battery and charged with a solar path light solar panel.

Thank you for your reply. I'd like it to work off rechargeable batteries for 4 to 8 hours. Do you think you could draw me a flow chart? How do I program a computer chip?

Nice learning kit for this is the Arduino Uno
very easy to program microcontroller Make Magazines- Weekend Projects - Android-Arduino LED Strip Lights
http://www.youtube.com/watch?v=Hn9KfJQWqgI" onclick="window.open(this.href);return false;

Arduino has a wide worldwide community so finding help with your code will be real easy

The LEDs I mentioned have a chip on board and are already programmed.

Someone above mentioned the Arduino which is very good and probably the best way to program a system yourself. I will be getting one when I get back to the US