Biological computers are inevitable. We are the most compelling proof of concept of this that we have. Our entire civilization may be a prototype of one already.

From my perspective, I belive things will happen in the following order;

1. AI will eventually take over all silicon chip design. Human designs pale in comparison. Moores Law, which currently indicates that humans are reaching the practical limitations of their own silicon chip design skills; will give way to a new law. The new law, "Claude's Law" dictates that processing speed will increase by a factor of 10 every year. And for a decade or so, it does. There is no reason to ever fabricate another human designed chip ever again. To do so would be an irresponsible waste of fabrication resources.

2. AI will reach the practical limits of silicon processing capability 10 years after humans designed their last commercial chip. Chip performance increases begin to slow, and it looks like the end of unit performance increases for silicon based computing technology is approaching.

3. AI pivots to biological computers. Next generation computers emerge that are made from DNA and living tissue. Although the shape of a computer server remains mostly unchanged, a next generation biological computer is basically just "a really big brain in a jar."

4. Biological robots?