Deck 4: The Nature of Numeration Systems
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Deck 4: The Nature of Numeration Systems
1
Melissa knew that if she flunked mathematics she would be ineligible to play in her team's last five basketball games. When she found out that one of her classmates had been able to change someone else's grade on the school computer, she had this same person change her math grade from F to
C.
This example of computer abuse was __________ (falsifying information, pirating software, interpreting output, modifying the hardware)
C.
This example of computer abuse was __________ (falsifying information, pirating software, interpreting output, modifying the hardware)
falsifying information
2
Give a brief description for the person named in problem, telling how they were related to the development of computers.
Paul Baran
Paul Baran
Paul Baran - 1st to envision Internet.
3
Why does the computer meet the need in the following activity?
Teaching a person to solve quadratic equations.
A) tutorial
B) doesn't need a computer
C) repetition
D) easy to correct
E) all of these choices
Teaching a person to solve quadratic equations.
A) tutorial
B) doesn't need a computer
C) repetition
D) easy to correct
E) all of these choices
tutorial
4
Give a brief description for the person named in problem, telling how they were related to the development of computers.
J. Presper Eckert
J. Presper Eckert
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5
There were many names mentioned in this section. Give a brief description for the person named in problem, telling how they were related to the development of computers.
Gottfried Leibniz
A) calculating device in 1617
B) founder of I.B.M computers
C) 1st working computer, ENIAC
D) developed WWW
E) calculating device in 1695
Gottfried Leibniz
A) calculating device in 1617
B) founder of I.B.M computers
C) 1st working computer, ENIAC
D) developed WWW
E) calculating device in 1695
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6
As part of a patient monitoring system in a local hospital, the computer (a) constantly monitors the patient's pulse and respiration rate; (b) sounds an alarm if the rates fall outside a preset range; and (c) notifies the nearest nursing station if either or both of its systems fail to function properly. The computer's capabilities are suited to these tasks because the tasks call for:
A) repetition
B) tutorial
C) program modification
D) simulation
E) all of these choices
A) repetition
B) tutorial
C) program modification
D) simulation
E) all of these choices
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7
Use finger multiplication to do the calculations.
A) 108
B) 56
C) 6
D) 54
E) 9

A) 108
B) 56
C) 6
D) 54
E) 9
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8
Karlin Publishing purchased a program for its computer that would enable it to streamline the printing process and decrease the time it takes to print each page. The program was too fast for Karlin's printer, so the company hired Shannon Foley to eliminate the problem. The human function required by Shannon for this job was:
A) speed
B) modifying the software
C) modifying the hardware
D) interpreting output
E) all of these choices
A) speed
B) modifying the software
C) modifying the hardware
D) interpreting output
E) all of these choices
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9
Use finger multiplication to do the calculations.


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10
Why does the computer meet the need in the following activity?
Teaching a person to solve quadratic equations.
__________ (easy to correct, repetition, tutorial)
Teaching a person to solve quadratic equations.
__________ (easy to correct, repetition, tutorial)
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11
As part of a patient monitoring system in a local hospital, the computer (a) constantly monitors the patient's pulse and respiration rate; (b) sounds an alarm if the rates fall outside a preset range; and (c) notifies the nearest nursing station if either or both of its systems fail to function properly.
The computer's capabilities are suited to these tasks because the tasks call for __________ (repetition, speed, program modification, tutorial)
The computer's capabilities are suited to these tasks because the tasks call for __________ (repetition, speed, program modification, tutorial)
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12
There were many names mentioned in this section. Give a brief description for the person named in problem, telling how they were related to the development of computers. Paul Baran
A) 1st to use term 'personal computer'
B) helped build first computer
C) 1st computer in the 1800s
D) 1st to envision Internet
E) 1st supercomputer
A) 1st to use term 'personal computer'
B) helped build first computer
C) 1st computer in the 1800s
D) 1st to envision Internet
E) 1st supercomputer
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13
Use finger multiplication to do the calculations.
A) 425
B) 549
C) 1,098
D) 9
E) 61

A) 425
B) 549
C) 1,098
D) 9
E) 61
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14
There were many names mentioned in this section. Give a brief description for the person named in problem, telling how they were related to the development of computers.
Douglas Engelbart
A) 1st working computer, ENIAC
B) founder of Microsoft
C) invented computer mouse
D) cofounder of Apple
E) founder of I.B.M computers
Douglas Engelbart
A) 1st working computer, ENIAC
B) founder of Microsoft
C) invented computer mouse
D) cofounder of Apple
E) founder of I.B.M computers
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15
Give a brief description for the person named in problem, telling how they were related to the development of computers.
John Mauchly
John Mauchly
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16
Give a brief description for the person named in problem, telling how they were related to the development of computers.
Aristophanes
Aristophanes
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17
Karlin Publishing purchased a program for its computer that would enable it to streamline the printing process and decrease the time it takes to print each page. The program was too fast for Karlin's printer, so the company hired Shannon Foley to eliminate the problem.
The human function required by Shannon for this job was __________ (modifying the software, speed, program modification, modifying the hardware)
The human function required by Shannon for this job was __________ (modifying the software, speed, program modification, modifying the hardware)
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18
There were many names mentioned in this section. Give a brief description for the person named in problem, telling how they were related to the development of computers.
Aristophanes
A) 1st computer in the 1800s
B) Bill Gates' partner in Microsoft
C) finger counting
D) 19th century calculating machine
E) 1st computer in the 1990s
Aristophanes
A) 1st computer in the 1800s
B) Bill Gates' partner in Microsoft
C) finger counting
D) 19th century calculating machine
E) 1st computer in the 1990s
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19
Definition for "thinking" is "To subject to the process of logical thought". According to it, answer the question, "Can computers think?"
A) yes
B) perhaps
C) no
A) yes
B) perhaps
C) no
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20
Definitions for "thinking" are given. According to each of the given definitions, answer the question, "Can computers think?"
To have feeling or consideration for __________ (yes, no, perhaps)
To create __________ (yes, no, perhaps)
To type Russian characters __________ (yes, no, perhaps)
To perceive or recognize __________ (yes, no, perhaps)
To remember __________ (yes, no, perhaps)
To devise __________ (yes, no, perhaps)
To have the ability to create bootable backup tapes and boot from them __________ (yes, no, perhaps)
To have feeling or consideration for __________ (yes, no, perhaps)
To create __________ (yes, no, perhaps)
To type Russian characters __________ (yes, no, perhaps)
To perceive or recognize __________ (yes, no, perhaps)
To remember __________ (yes, no, perhaps)
To devise __________ (yes, no, perhaps)
To have the ability to create bootable backup tapes and boot from them __________ (yes, no, perhaps)
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21
Perform the indicated operation.
A) 1010 two
B) 1101 two
C) 11101 two
D) 1011 two
E) 111 two

A) 1010 two
B) 1101 two
C) 11101 two
D) 1011 two
E) 111 two
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22
Convert the number
to the binary system.
__________two

__________two
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23
Convert the number to the octal system.
1 111 111 two
A) 377 eight
B) 170 eight
C) 167 eight
D) 177 eight
E) 176 eight
1 111 111 two
A) 377 eight
B) 170 eight
C) 167 eight
D) 177 eight
E) 176 eight
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24
Write the number as a binary numeral.
48
__________two
48
__________two
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25
Write the number as a decimal numeral.
A) 13
B) 26
C) 11
D) 24
E) 16

A) 13
B) 26
C) 11
D) 24
E) 16
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26
Write the number 15 as a binary numeral.
__________
__________

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27
Write the number
as a decimal numeral.

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28
Convert the number to the octal system.
100 two
A) 9 eight
B) 4 eight
C) 8 eight
D) 3 eight
E) 6 eight
100 two
A) 9 eight
B) 4 eight
C) 8 eight
D) 3 eight
E) 6 eight
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29
Write the capital letters for the ASCII code.
72 65 86 69
A) HOSE
B) MUST
C) HAVE
D) PAGE
E) HOME
72 65 86 69
A) HOSE
B) MUST
C) HAVE
D) PAGE
E) HOME
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30
Write the ASCII codes for the capital letters.
END
END
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31
Use finger multiplication to do the calculations.


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32
Perform the indicated operation.
A) 10111 two
B) 1011 two
C) 10110 two
D) 1111 two
E) 11010 two

A) 10111 two
B) 1011 two
C) 10110 two
D) 1111 two
E) 11010 two
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33
Perform the indicated operation.
__________two

__________two
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34
Convert the number
to the octal system.
__________eight

__________eight
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35
Convert the number to the binary system.
157 eight
A) 111 111 0 two
B) 10 101 111 two
C) 1 100 111 two
D) 1 101 111 two
E) 1 101 1110 two
157 eight
A) 111 111 0 two
B) 10 101 111 two
C) 1 100 111 two
D) 1 101 111 two
E) 1 101 1110 two
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36
Convert the number
to the octal system.
__________eight

__________eight
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37
Perform the indicated operation.
__________two

__________two
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38
Write the number as a binary numeral.
35
A) 110001
B) 100011
C) 1
D) 110000
E) 10001
35
A) 110001
B) 100011
C) 1
D) 110000
E) 10001
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39
Write the ASCII codes for the capital letters.
PRINT
A) 81 82 73 78 84
B) 83 82 77 78 85
C) 80 82 73 78 84
D) 80 82 77 78 84
E) 80 83 73 78 84
A) 81 82 73 78 84
B) 83 82 77 78 85
C) 80 82 73 78 84
D) 80 82 77 78 84
E) 80 83 73 78 84
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40
Write the number as a binary numeral.
11
A) 1001 two
B) 1011 two
C) 1111 two
D) 1010 two
E) 11011 two
11
A) 1001 two
B) 1011 two
C) 1111 two
D) 1010 two
E) 11011 two
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41
Change the number
to base ten.

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42
Change 458 to base eight.
A) 712 eight
B) 916 eight
C) 772 eight
D) 710 eight
E) 711 eight
A) 712 eight
B) 916 eight
C) 772 eight
D) 710 eight
E) 711 eight
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43
Change the number
to base ten.
A) 1,817
B) 1,792
C) 1,807
D) 1,812
E) 473

A) 1,817
B) 1,792
C) 1,807
D) 1,812
E) 473
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44
Change 1,373 to base twelve.
__________ twelve
__________ twelve
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45
Write the number in expanded notation.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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46
Change 63 months to years and months.
A) 5 years, 3 months
B) 4 years, 15 months
C) 5 years, 4 months
D) 4 years, 3 months
E) 7 years, 2 months
A) 5 years, 3 months
B) 4 years, 15 months
C) 5 years, 4 months
D) 4 years, 3 months
E) 7 years, 2 months
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47
Change 75 days to weeks and days.
A) 10 weeks, 5 days
B) 12 weeks, 4 days
C) 9 weeks, 3 days
D) 9 weeks, 12 days
E) 10 weeks, 6 days
A) 10 weeks, 5 days
B) 12 weeks, 4 days
C) 9 weeks, 3 days
D) 9 weeks, 12 days
E) 10 weeks, 6 days
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48
Change the number to base ten.


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49
Change 123 to base eight.
__________ eight
__________ eight
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50
Change the number
to base ten.

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51
Change 190 to base four.
__________ four
__________ four
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52
Write the number in expanded notation.
A)
B)
C)
D)
E)

A)

B)

C)

D)

E)

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53
Write the capital letters for the ASCII code.
72 65 82 68
72 65 82 68
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54
Change 1,395 to base twelve.
A) 983 twelve
B) 910 twelve
C) 988 twelve
D) 993 twelve
E) 1,395 twelve
A) 983 twelve
B) 910 twelve
C) 988 twelve
D) 993 twelve
E) 1,395 twelve
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55
Change 109 to base four.
A) 1131 four
B) 1101 four
C) 1220 four
D) 1231 four
E) 2113 four
A) 1131 four
B) 1101 four
C) 1220 four
D) 1231 four
E) 2113 four
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56
Change the number
to base ten.
A) 519
B) 239
C) 2,856
D) 231
E) 400

A) 519
B) 239
C) 2,856
D) 231
E) 400
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57
Change the number to base ten.
A) 3,030
B) 174
C) 606
D) 170
E) 870

A) 3,030
B) 174
C) 606
D) 170
E) 870
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58
Change the number
to base ten.

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59
Write the number
in expanded notation.
__________
__________
__________ 





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60
Change the number
to base ten.
A) 15.75
B) 18.47
C) 14.52
D) 16.86
E) 31.5

A) 15.75
B) 18.47
C) 14.52
D) 16.86
E) 31.5
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61
Write 27.819 in expanded notation.
27.819 = __________
__________
__________
__________
__________ 
27.819 = __________





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62
Find a pattern and write the next five members of the given sequence.
0, 1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, . . .
0, 1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, . . .
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63
One of the oldest devices used for calculation is the abacus, as shown in the sample figure. Each rod names one of the positions we use in counting. Each bead on the bottom represents one unit in that column and each bead on the top represents 5 units in that column. The number illustrated in the sample figure below is 1,734.
Sample
What number is illustrated by the drawing?

Sample

What number is illustrated by the drawing?

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64
Write
in decimal notation.

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65
Define d n where d is any nonzero number and n is any counting number.
A)
where n is a positive number
B)
, where there are n factors of d
C)
where n is a natural number
D)
where n is the exponent
E)
where n is a real number
A)

B)

C)

D)

E)

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66
Write the number in decimal notation.
A) 0.001
B) 0.00001
C) 100,000
D) 0.00000001
E) 1,000

A) 0.001
B) 0.00001
C) 100,000
D) 0.00000001
E) 1,000
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67
One of the oldest devices used for calculation is the abacus, as shown in the sample figure. Each rod names one of the positions we use in counting. Each bead on the bottom represents one unit in that column and each bead on the top represents 5 units in that column. The number illustrated in the sample figure below is 1,734.
Sample
Choose an abacus to show 10,905.
A
B
C
D
A) C
B) B
C) D
D) A
E) none of these
Sample

Choose an abacus to show 10,905.
A


C


A) C
B) B
C) D
D) A
E) none of these
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68
Write the number in decimal notation.
A) 31.276
B) 3.127
C) 67.213
D) 3.1276
E) 312.76

A) 31.276
B) 3.127
C) 67.213
D) 3.1276
E) 312.76
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69
Write the numbers in decimal notation.
__________
__________


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70
Change 65 days to weeks and days.
__________ weeks and __________ days
__________ weeks and __________ days
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71
Write 367 in expanded notation.
367 = __________
__________
__________ 
367 = __________



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72
Find a pattern and write the next five members of the given sequence.
0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, . . .
A) 22, 23, 24, 25, 30
B) 22, 30, 31, 32, 40
C) 22, 23, 24, 25, 26
D) 22, 23, 30, 31, 32
E) 30, 31, 32, 33, 34
0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 21, . . .
A) 22, 23, 24, 25, 30
B) 22, 30, 31, 32, 40
C) 22, 23, 24, 25, 26
D) 22, 23, 30, 31, 32
E) 30, 31, 32, 33, 34
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73
Write 13.319 in expanded notation.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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74
Change 50 months to years and months.
__________ years and __________ months
__________ years and __________ months
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75
Write the number
in expanded notation.
__________
__________
__________
__________
__________ 








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76
Write 953 in expanded notation.
A)
B)
C)
D)
E)
A)

B)

C)

D)

E)

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77
Write the number in decimal notation.


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78
Illustrate the meaning of the numeral 5 in 58,000,000.
A) 5 hundreds
B) 5 thousandths
C) 5 ten-millions
D) 5 tens
E) 5 units
A) 5 hundreds
B) 5 thousandths
C) 5 ten-millions
D) 5 tens
E) 5 units
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79
Write
in decimal notation.
A) 0.00005
B) -5000
C) 0.005
D) -50000
E) 0.0005

A) 0.00005
B) -5000
C) 0.005
D) -50000
E) 0.0005
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80
Illustrate the meaning of the numeral 5 in 805.
The meaning of the numeral 5 is __________ (5 units, 5 thousandth, 5 ten-millions, 5 hundreds).
The meaning of the numeral 5 is __________ (5 units, 5 thousandth, 5 ten-millions, 5 hundreds).
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