I propose something along these lines:

A C (or stylized C) with something representing a bit inside. At some point an actual fontist / graphic designer would need to work on it, though.

How about a power symbol rotated 90 degrees clockwise?

Apple might sue you for that Cheesy

-- it's like a B, it's binary, it's a diamond, it's a compass...

Or, this existing unicode: U+25EA ◪