Number Theory

# Different Base

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 $$\frac{7}{8}$$?

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