Why not just use instead of using something like blum shub, Computer Engineering

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Why not just use instead of using something like blum shub

Problem

Question I: Is it theoretically possible to come up with a hash function that could never have a collision? Why or why not.

Question II: Many operating systems have system calls to TRNG. Why not just use these instead of using something like Blum Blum Shub? Give me a task that would require the use of a CRNG instead of a TRNG.

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Computer Engineering: Why not just use instead of using something like blum shub

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Computer Engineering: Why not just use instead of using something like blum shub

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