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Question about Base Change Problems

Subject Mathematics

Mathematics

Source Originais Teachy

Originais Teachy

Topic Base Change Problems

Base Change Problems

Difficulty Medium

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

On the planet Zog, the inhabitants use a base 2 numbering system, different from the base 10 system used on Earth. A Earthling tourist, curious to learn more about this system, asked a Zoguian to teach him how to convert numbers between the two bases. Help the Earthling tourist by following the steps below: a) Convert the number 1011 (base 2) to base 10; b) Convert the number 9 (base 10) to base 2; c) Explain how you did each of these calculations, showing the reasoning used.

Answer sheet:

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