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?

Question

Computers and Technology

Jessie York

27 June, 15:36

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?

+5

Answers (1)

Know the Answer?

Destiney · Answer 1

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.