Question

Find the missing number in the given series. \[ 1010,\; \underline{\hspace{2cm}},\; 1100,\; 1101,\; 1110,\; 1111 \]

Hint:

For number series questions: \begin{itemize} \item Check whether numbers belong to a specific number system, \item Binary series often increase by 1 sequentially, \item Convert to decimal if needed to identify the pattern. \end{itemize}

Answer 1

Step 1: Observe that the series is written in
binary number system.
Step 2: The numbers are increasing consecutively in binary form: \[ 1010\;(10),\; 1011\;(11),\; 1100\;(12),\; 1101\;(13),\; 1110\;(14),\; 1111\;(15) \]
Step 3: The number missing between \(1010\) and \(1100\) is: \[ \boxed{1011} \]