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Number Bases

How would math be different if humans only had 6 fingers and 8 toes? How does a computer do math if it has no fingers to count on?

Level 2

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

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

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

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

A new prime has been discovered: \[\Large {2}^{74,207,281} - 1.\] Find the sum of its digit when written in Binary (base 2).

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

What number follows 666 in base 7?

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