Dear Mahendravarman rajarao,
I need to know will the latest u-boot supports TMS320C6678 TI processor?
I'm not aware that U-Boot runs on any DSP. The list of supported architectures can easily be found by looking at the sources[1].
I have seen Linux support is available for the same processor.
Wow, I wasn't aware of such a Linux port.
If u-boot support is not available , is there any method to extract the needed files from linux and apply to u-boot to support the processor
Not really. Porting U-Boot to a new architecture is a manual process invloving adapting to the U-Boot code base.
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Best wishes Detlev