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Number Theory
Number Bases
\[\Large \color{green}{200_5} \quad \color{blue}{100_7} \quad \color{purple}{56_9}\] \[\text{Which of these numbers is the largest?}\]
Note: \(200_5\) means that the number is in base \(5\), and so forth.
by
Zeeshan Ali
\[ \large{\begin{array}{ccccc} &1& 1& 0 & 0&1\\ + & &1 & 0 & 1&1\\ \hline \end{array}} \]
Compute the binary sum above. Be sure to give your answer in binary.
by
Sravanth Chebrolu
A new prime has been discovered: \[\Large {2}^{74,207,281} - 1.\] Find the sum of its digit when written in Binary (base 2).
by
Aareyan Manzoor
What is the greatest 4 digit perfect square in base 7? (Input your answer in base 7).
by
Karthik Venkata
What number follows 666 in base 7?
by
Sachin Vishwakarma