Q159 / 270 · NDA 2012 (Phase 2) · Mathematics

The decimal representation of the number $(1011)_2$ in binary system is :

A
$5$
B
$7$
C
$9$
Correct answer
D
$11$

Solution

$\begin{aligned}(1011)_2 & =1 \times 2^3+0 \times 2^2+1 \times 2^1+1 \times 2^0 \\ & =8+0+2+1 \\ & =(11)_{10}=11\end{aligned}$

Hence, the correct answer is option: 'D'.

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