read binary number

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doc fread
sounds like what you might be looking for.

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Yes, you can use a "precision" of 'bit2' to read two bits at a time in fread from a file. This is *not* available, though, for fread() from a device (in particular not for a serial port.)
In my experience, if you are not developing a communications protocol of the varieties supported in the Communications Toolbox (e.g., error correcting codes applied to communications with a satellite), then reading a bit or two at a time is probably not necessary or efficient.

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