Computer programs don’t include the CPU design. DNA on the other hand encodes everything which then gets leveraged during cell division.

Basically, DNA includes the design for both the car, car factory, and all the component factories that feed the car factory, and the mines that feed the component factories. People have dependencies on their diet for things like vitamin C, but that’s a whole other issue.

PS: Mitochondria also have DNA, but that’s just location specific and can simply be added to the total for the cell.