5. The text predicts that we will never need to transition from 64-bit computers to 128-bit computers because we will never need main memories bigger than 16 billion GiB. Silicon crystals have a plane consisting of 0.5-nm square tiles, each tile containing two atoms. (a)

Assuming that you could manufacture a memory so dense as to store one bit per atom on one plane of silicon atoms (and neglecting the interconnection issues with the wires), what would be the length of the side of a square chip necessary to store the maximum number of bytes addressable by a 64-bit computer? Show your calculation.

(b) Does this calculation support the prediction? Explain.