Start with the number of posibilities representable with a single binary digit: two — one labeled "zero" and the other "one."
Next step it up a dimension; two bits: four values.
Three bits: eight values.
As the number of bits increases, the number of possible points grows exponentially:
| # of Bits | # of Possiblities |
|---|---|
| 0 | 0 |
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
| 4 | 16 |
| 5 | 32 |
| 8 | 256 |
| 16 | 65,536 |
| 32 | 4,294,967,296 |
| n | 2n |