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

C is correct. Ten binary digits provide 1024 combinations (2¹⁰ = 1024).

A, B, and D are incorrect. A is not correct because eight binary digits provide 256 combinations (2⁸ = 256). B is not correct because nine binary digits provide 512 combinations (2⁹ = 512). D is not correct because 11 binary digits provide 2048 combinations (2¹¹ = 2048).