any idea to solve this problem

Question

. A company has decided to assign a unique bit pattern to each employee. If the
company has 900 employees, what is the minimum number of bits needed to create this system of representation? How many patterns are unassigned? If the company hires another 300 employees, should it increase the number of bits? Explain your answer.

Answer 1

900 is between 512 and 1024 that is 9bit and 10bit. So least to assign all is 10bit.
Adding 300 to 900 is 1200, which is more than 1024. So company must add another bit.
To find the next bit take the ceiling (log(n)).
I hope this is useful.

Answer 2

Logarithm could be useful.

Answer 3

Every bit can be either 1 or 0, so there are 2^x possibilities, where x is number of bits