Question

A computer database uses a binary sequence of 10 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 11 bits. How many times more unique user IDs can be represented with the new system?

Answer 1

Answer:

2 times more unique IDs

Explanation:

The number of bits used to represent unique IDs in the computer system = 10 bits

The number of bits to which the database is upgraded to = 11 bits

The number of unique IDs represented by a 10 bits binary sequence, n = 10¹⁰ = 1024

The number of unique IDs represented by a 10 bits binary sequence, n = 10¹¹ = 2048

Therefore, the number of times more unique IDs that can be represented with the new system of 11 bits = 2048/1024 = 2 times more unique IDs