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? 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.
Apple might sue you for that
-- it's like a B, it's binary, it's a diamond, it's a compass...
Or, this existing unicode: U+25EA ◪