To put it into context, each cell in your body contains 6 billion base pairs of data (two copies of your genome). Each base is one of 4 bits, so that’s 4^6000000000 of data in each cell. Your body has ~37 trillion cells [1]. A person is about the size of a rack (well, maybe 10-15U by volume), so that’s 3.7e13 * 4^6e9 bits per rack.
A petabyte is 8e15 bits.
That’s a lot of data storage capacity in a small space. Moreover, there is the potential for introducing more synthetic bases to increase the 4 to 6.
With 6 gigabases per cell and 2bits per base, the storage capacity is 12 gigabits (1.5 gigabytes) per cell. And with 37 trillion cells (3.72e13) in a human body, that’s 3.72e13 cells * 1.5e9 bytes per cell which is 5.58e22 bytes per person or 55 zettabytes. This seems like a more reasonable number.
Of course even when you said base you did the math with # of base pairs, so it doesn't really matter.
T-A
A-T
G-C
C-G
That location, using 2 base's, encodes 4 possible values, i.e. 2 bits. I.e. 1 bit per base.
But that doesn't explain storage density. And biological DNA has mechanisms to survive in a cell but these synthetic DNA's might be standalone.
""DNA can store digital information in a space that is orders of magnitude smaller than datacenters use today.""
Would this DNA also exist in the same conditions as the data center or does it need more things?