Number Theory
Number Bases
A \(3\)-digit number has digit sum \(15\) and is divisible by \(35\). Find the \(3\)-digit number.
by
Yuxuan Seah
Convert the following number from base 3 to base 9: \[\huge{121212121212_3}\]
by
Chung Kevin
\[ 1111111111111111_{(2)} + 1010101010101010_{(2)} = \ ? \]
Clarification: The two numbers given are written in base 2, while the numbers in the answer choices are written in base 16.
by
Farhabi Mojib
True or false:
\( \quad \) \(\large 0.{111111\ldots}_2 = 1\).
by
Pi Han Goh
Evaluate the following in base 10 :
\[100_2+ 100_{8}+ 100_{10} + 100_{16} \]
by
Shivansh Dhiman