You're assuming consciousness is a single bit, when that's not even true in humans. How "conscious" are you when slowly waking up? It varies by circumstance, too, e.g. I'd say I'm certainly less explicitly self-aware when I'm walking a familiar route and not thinking about much than when pondering my place in the universe. It's easy to imagine a mind that only had the first kind of experience. We don't even need to consider easy cases of variable consciousness like sleep (maybe with lucid dreams), sedation, coma, etc.

Consciousness is a matter of degree, and there's no hard evidence about how low the scale goes.