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A computer database uses a binary sequence of 5 bits to represent unique user IDs. To increase the number of unique IDs that the database is able to represent, the database administrator increases the number of bits in a user ID to 12 bits. How many times more unique user IDs can be represented with the new system?

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gabrielolaitan

Answer: 2 ^56 times more unique user ID's can be represented in the system.

Explanation:

5 bits will produce a maximum data allocation for User ID entries of 2^ 10.

12 bits will produce a maximum data allocation for User ID entries of 2^ 66.

Therefore the number of times more unique user ID's will be represented is 2^(66-10) = 2 ^ 56 times.

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