Re: 24v DC to 12v DC converter for LED backlight
LED's are a current driven (dependant) device. In other words don't be concerned about the voltage... pay attention to the current.
Do your LED strips include current limiting resistors? If so you should be able to include an external resistor to further limit the current and still be able to use the existing 24V supply.
Another thought would be to series two of the LED strips together and therefore make a 24V LED strip.
You can drive the same LED with 3, 12, 51 or 120 Volts by just changing the current limit resistor to a value that allows only the proper current to flow.
If you google "LED resistor calculator", or some similar phrase, you will find numerous examples of how to calculate the risistor value for a given LED and voltage.
hope this helps
Dwight
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