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The (fictional) space probe Venus 22 sent back the following picture of a Venusian rock-carving, assumed to constitute an addition

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ANSWER ALL QUESTIONS

[10] 1. The (fictional) space probe Venus 22 sent back the following picture of a Venusian rock-carving, assumed to constitute an addition. What is the base of the number system used by the Venusians?

Warning: Be sure to justify your answer, and the justification is not as simple as “Three symbols means base 3.”

2. Design a computer that is able to store (0.1)10 exactly. A floating point number on your computer must be represented internally in a base less than 10, and must have a mantissa with a finite number of digits. (Hint: Is this possible?)

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