Roughly 100 gigabytes to store a human genome. Check out the Human Genome Project for more info.
Article ref: https://www.technologyreview.com/2015/10/26/165419/how-do-genome-sequencing-centers-store-such-huge-amounts-of-data
>can you assign an algorithm to your thoughts?
If you could, you could develop a real sentient AI that would change the world. But so far no. One of the concepts on making a sentient AI is to emulate a human brain in a supercomputer, (in which case you would need the genome to create the emulated 'brain'). However this is just a concept right now, no one has done it, or even come close to attempting it. We still can't 'read' a genome in order to tell which parts we would need to generate the 'brain' part.
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