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NDA 2012

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

NDA 2012 · Mathematics · Binary Numbers

The decimal number (57.375)_ 10 when converted to binary number...

The decimal number

(57.375)_{10}

when converted to binary number takes the form :

Options

A $(111001.011)_2$
B $(100111.110)_2$
C $(110011.101)_2$
D $(111011.011)_2$

Correct answer

A. $(111001.011)_2$

Step-by-step solution

\begin{aligned}(57.375)_{10} & =(111001.011)_2 \\ (57)_{10} & =(111001)_2 \\ (.375)_{10} & =(.011)_2.\end{aligned}

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