I disagree with you that mutation is random. More so it is finite. I will give a very good explanation a bit later when I get past the noobness of this account.
But in brief, the DNA of any organism for that matter.
Every living organism on this planet is constructed of three dimensional digital coding. Like zip files, pure data with "ZERO" junk code in every single strand. Line for line, which opens up click by click by click , to become a living biological organism. All of it fitting together like a perfect glove. And deeper inside, the genome, the framework of pure biological software, and precision operating systems. File folders containing actual body plans. Digital instructions coordinating every strand,every cell, every part.
Pulling the molecular fabric of every piece together to create a biological masterpiece. Literally written, birthed, into reality itself. From scratch! The intangible controlling the tangible. The living blue print of what you call "you".
By the way, so you know. Each DNA generation of a organism cycling down per generation. Losing a bit of DNA from the previous generation. The laws of replication, over and over again.