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To get a 4K image, since it's 4x the resolution of 1080p, you'd need a dual Tegra X2 processor, as I believe Tegra X2 is double the power of the X1, so that would give you 4x the processing power. I mean these are obviously ball park estimates but you get the idea. Memory bandwidth doubles to 50GB/sec as well.

It's actually probably fairly doable if Nintendo wanted to do it say next year, probably for less than $399.99 even.

That said I'm not sure if Nintendo is interested in that. Then again it could fulfill that mandate of a Supplemental Compute Device that they patented.