In base ten, the number 101101 (base 2) equals

In base ten, the number 101101 (base 2) equals

Correct Answer: Option C

Explanation

(101101)₂ (begin{array}{c|c} 2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^o\ hline 1 & 0 & 1 & 1 & 0 & 1end{array})
= 1 x 2⁵ + 0 x 2⁴ + 1 x 2³ + 1 x 2² + 0 x 2¹ + 1 x 2^o
= 32 + 0 + 8 + 4 + 0 + 1
= (45)¹⁰