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Now, I'm no EE guy, but I'd wager if the circuits are designed and built well, you should be able to construct an endless chain of clock dividers. Generally, all they're doing is counting the steps that are coming in, so you're not clocking a PLL or something like that that's attempting to keep pace with a steady signal. So if you're looking to get a bunch of subdivisions down to 1/4096, I wouldn't doubt that that would be possible