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NDA 2012

Exam: NDA
Year: 2012
Subject: Mathematics
Chapter: Binary Numbers

NDA 2012 · Mathematics · Binary Numbers

The decimal representation of the number (1011)_2 in binary system...

The decimal representation of the number

(1011)_2

in binary system is :

Options

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

Correct answer

D. $11$

Step-by-step 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}

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