Exam 4: The Nature of Numeration Systems

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Perform the indicated operations in the following problem. ​ Perform the indicated operations in the following problem. ​   ​ Write your answer as a decimal numeral. By decimal numeral, we mean the system we use in everyday arithmetic. ​ ​ Write your answer as a decimal numeral. By decimal numeral, we mean the system we use in everyday arithmetic. ​

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C

Write the number as a binary numeral. ​ 48 ​ __________two

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110000

Perform the indicated operation. ​ Perform the indicated operation. ​   ​ __________two<sub>​</sub> ​ __________two

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10110

Write the numeral in the following problem as a decimal numeral. By decimal numeral, we mean the system we use in everyday arithmetic. ​ DCCIX ​

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Perform the indicated operation. ​ Perform the indicated operation. ​   ​

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Use finger multiplication to do the calculations. ​ Use finger multiplication to do the calculations. ​   ​

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Change 458 to base eight. ​

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Write the capital letters for the ASCII code. ​ 72 65 86 69 ​

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Kathy had a dream in which she was selling roses in an international market. She started out with 134 roses. Then her first customer, an Egyptian, bought Kathy had a dream in which she was selling roses in an international market. She started out with 134 roses. Then her first customer, an Egyptian, bought   of them. Soon afterward, a Babylonian asked to buy   roses; later XIV roses were bought by (you guessed it) a Roman. How many roses did she have left to sell at the end of her dream? ​ __________ roses of them. Soon afterward, a Babylonian asked to buy Kathy had a dream in which she was selling roses in an international market. She started out with 134 roses. Then her first customer, an Egyptian, bought   of them. Soon afterward, a Babylonian asked to buy   roses; later XIV roses were bought by (you guessed it) a Roman. How many roses did she have left to sell at the end of her dream? ​ __________ roses roses; later XIV roses were bought by (you guessed it) a Roman. How many roses did she have left to sell at the end of her dream? ​ __________ roses

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Use finger multiplication to do the calculations. ​ Use finger multiplication to do the calculations. ​   ​

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Tell which of the named properties apply only to the Roman numeration systems. ​

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Change the number to base ten. ​ Change the number to base ten. ​   ​

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Define d n where d is any nonzero number and n is any counting number. ​

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Write the numeral in the problem in the Roman system. ​ 258 ​

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What is the largest number that uses each of the seven Roman numerals exactly once?

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In a strange mix-up, several people (none of whom spoke the same language) needed to pool their resources to survive the scorching desert heat. Eric had 55 bottles of water; Dimetrius had In a strange mix-up, several people (none of whom spoke the same language) needed to pool their resources to survive the scorching desert heat. Eric had 55 bottles of water; Dimetrius had   bottles; Sparticus had   bottles. How many bottles of water did they have all together? ​ __________ bottles bottles; Sparticus had In a strange mix-up, several people (none of whom spoke the same language) needed to pool their resources to survive the scorching desert heat. Eric had 55 bottles of water; Dimetrius had   bottles; Sparticus had   bottles. How many bottles of water did they have all together? ​ __________ bottles bottles. How many bottles of water did they have all together? ​ __________ bottles

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Write the number as a decimal numeral. ​ Write the number as a decimal numeral. ​   ​

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Write the ASCII codes for the capital letters. ​ END

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Write the numeral as a decimal numeral. By decimal numeral, we mean the system we use in everyday arithmetic. ​ Write the numeral as a decimal numeral. By decimal numeral, we mean the system we use in everyday arithmetic. ​

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Give a brief description for the person named in problem, telling how they were related to the development of computers. ​ Paul Baran

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