A computer database uses a binary sequence of 4 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 7 bits. How many times more unique user IDs can be represented with the new system?

Respuesta :

Answer:

The answer is "A device may include [tex]2 ^{56}[/tex]time more unique user IDs".

Explanation:

In the given question  the total user ID access availability of 5 bits would also be [tex]2^{10}[/tex],  and  for user ID listings, its 12 bits should generate a maximum [tex]2^{66}[/tex] data allocation.  

In this, it first calculate the value that is [tex]2^{(66-10)}=2^{56}[/tex] times, which was its amount of times most specific user IDs, that's why [tex]2 ^{56}[/tex] time is correct answer.