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

One binary digit provide 2 combinations and \'n\' binary digits give 2^n combinations.

For 1024 combinations, the binaty digits are:

2^n = 1024

2^n = 2^10

n = 10

Answer: C. 10