How much can the length of the unique key string be reduced by using a 32-character alphabet instead of 16-decimal digits?

Question

Mathematics

Hello.
Tell me, please, who is in the subject.
The UID (guid, uuid) is written as a string of thirty-two hexadecimal digits. The total number of unique keys is 2 to the power of 128.
How much can the length of a string be reduced by using a 32-character alphabet (0-f and 16 more letters) instead of 16-decimal digits (0-f)? What about 64 characters? What is the mathematical dependence provided that the total number of unique keys must be at least 2 to the power of 128.
Thank you.

Answer 1

The key length is 128 bits.
1 out of 32 is 5 bits.
1 out of 64 is 6 bits.
Here also consider. For example, 128:5 = 25.6, that is, 26 characters.