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Number Theory
# Number Bases

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\[\Large \color{green}{200_5} \quad \color{blue}{100_7} \quad \color{purple}{56_9}\] \[\text{Which of these numbers is the largest?}\]

**Note**: \(200_5\) means that the number is in base \(5\), and so forth.

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Zeeshan Ali**

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\[ \large{\begin{array}{ccccc} &1& 1& 0 & 0&1\\ + & &1 & 0 & 1&1\\ \hline \end{array}} \]

Compute the binary sum above. Be sure to give your answer in binary.

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Sravanth Chebrolu**

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Aareyan Manzoor**

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What is the greatest 4 digit perfect square in base 7? (Input your answer in base 7).

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Karthik Venkata**

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What number follows 666 in base 7?

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Sachin Vishwakarma**

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