How many binary digits are needed to create 1024 combination

How many binary digits are needed to create 1024 combinations?

A. 8

B. 9           

C. 10

D. 11

Solution

The answer is C. 10 binary digits are needed for 1024 combinations. 2^10 = 1024, as we have 10 digits and each digits have 2 possibilities so total possibilities are 2^10 which is 1024.