Number Theory

Number Bases

Alternate Bases


Express the base 4 number 1234123_{4} as a decimal number.

Convert the decimal number 96 to base 5.

If nn is a positive natural number, how many 11's will appear in the binary (base 2) representation of

2n+1?2^n + 1\text{?}

What is the next natural number after 334?33_4\text{?}

Which of the following is the binary (base 2) representation of 78\frac{7}{8}?


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