Find n if 34

_{n}= 10011_{2}-
**A.**

5 -
**B.**

6 -
**C.**

7 -
**D.**

8

##### Correct Answer: Option A

##### Explanation

To find n if 34n = 10011_{2}, convert both sides to base 10

= 3n + 4 = (1 x 2^{4}) + (0 x2^{3}) + (0 x 2^{2}) + (1 x 2^{1}) + 1 x 2^{o}

= 3n + 4 = 16 + 0 + 0 + 2 + 1

3n + 4 = 19

3n = 15

n = 5