LLMs don't "understand bitwise noise at a native level". The unit of perception for an LLM is a token, a soundly superbit level. They would have the same difficulty with bits as the number of "r"s in "strawberry". Yes they can be post trained to deal with such difficulties, but it's no more "native" than a human who memorised the ASCII table.
The degree of nativeness of the skill is orthogonal to the raw power of these systems. A frontier model has access to dozens of GPUs, each moving terabits of data, and performing trillions of matrix multiplication operations, per second.