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5 May, 10:43

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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  1. 5 May, 13:15
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    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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