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Question: Answered & Verified by Expert
If the number 235 in decimal system is converted into binary system, then what is the resulting number?
MathematicsSets and RelationsNDANDA 2016 (Phase 2)
Options:
  • A $(11110011)$
  • B $(11101011)$
  • C $(11110101)$
  • D $(11011011)$
Solution:
1697 Upvotes Verified Answer
The correct answer is: $(11101011)$
\begin{array}{l|l|l}
2 & 235 & 1 \\
\hline 2 & 117 & 1 \\
\hline 2 & 58 & 0 \\
\hline 2 & 29 & 1 \\
\hline 2 & 14 & 0 \\
\hline 2 & 7 & 1 \\
\hline 2 & 3 & 1 \\
\hline & 1 &
\end{array}
So, $(235)_{10}=(11101011)_{2}$

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