Number Theory
Number Bases
Express the base 4 number \(123_{4}\) as a decimal number.
Convert the decimal number 96 to base 5.
If \(n\) is a positive natural number, how many \(1\)'s will appear in the binary (base 2) representation of
\[2^n + 1\text{?}\]
What is the next natural number after \[33_4\text{?}\]
Which of the following is the binary (base 2) representation of \(\frac{7}{8}\)?