Question 1

Determine the letters or numbers.
-Translate "Bob" into an ASCII string of binary digits.

Accepted Answer

A) 100001011011001100001 
B) 100010110100010011101 
C) 100001011011111100010 
D) 100001011011111000010 
A) 100001011011001100001 
B) 100010110100010011101 
C) 100001011011111100010 
D) 100001011011111000010

Question 2

Convert from binary form to the indicated base.
-$11100 _ { \text {two } }$ to base ten

Accepted Answer

A)  6 
B)  22,200 
C)  28 
D)  56 
A)  6 
B)  22,200 
C)  28 
D)  56

Question 3

Convert the Chinese numeral to Hindu-Arabic form.
-

Accepted Answer

A)  3570 
B)  357 
C)  3057 
D)  367 
A)  3570 
B)  357 
C)  3057 
D)  367

Question 4

Convert the number to decimal form.
-$21 \mathrm { E } _ { \text {twelve } } \left( \mathrm { T } = 10 _ { \text {ten } } , \mathrm { E } = 11 _ { \text {ten } } \right)$

Accepted Answer

A)  168 
B)  2652 
C)  311 
D)  3732 
A)  168 
B)  2652 
C)  311 
D)  3732

Question 5

Solve the problem.
-A restaurant manager gets a weekend off every 8 weeks. The manager is planning a trip for next year. If he has already worked 6 weekends in a row following a weekend off, what is the first
Week, after 49 weeks from this week, that he will have a weekend off?

Accepted Answer

A) 50 
B) 51 
C) 49 
D) 52 
A) 50 
B) 51 
C) 49 
D) 52

Question 6

Convert the decimal number to the given base.
-13,562 to base seven

Accepted Answer

A)  $53456 _ { \text {seven } }$ 
B)  $54353 _ { \text {seven } }$ 
C)  $54121 _ { \text {seven } }$ 
D)  $53743 _ { \text {seven } }$ 
A)  $53456 _ { \text {seven } }$ 
B)  $54353 _ { \text {seven } }$ 
C)  $54121 _ { \text {seven } }$ 
D)  $53743 _ { \text {seven } }$

Question 7

Solve the problem.
-If Friday is your starting day, what day will it be 3 years, 344 days from Friday? (Assume no leap years.)

Accepted Answer

A) Monday 
B) Tuesday 
C) Saturday 
D) Sunday 
A) Monday 
B) Tuesday 
C) Saturday 
D) Sunday

Question 8

Write the number in expanded form.
-68,963

Accepted Answer

A)  $\left( 6 \cdot 10 ^ { 0 } \right) + \left( 8 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 4 } \right)$ 
B)  $\left( 6 \cdot 10 ^ { 4 } \right) + \left( 8 \cdot 10 ^ { 3 } \right) + \left( 9 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 1 } \right) + \left( 3 \cdot 10 ^ { 0 } \right)$ 
C)  $\left( 6 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 9 \cdot 10 ^ { 3 } \right) + \left( 6 \cdot 10 ^ { 4 } \right) + \left( 3 \cdot 10 ^ { 5 } \right)$ 
D)  $\left( 6 \cdot 10 ^ { 5 } \right) + \left( 8 \cdot 10 ^ { 4 } \right) + \left( 9 \cdot 10 ^ { 3 } \right) + \left( 6 \cdot 10 ^ { 2 } \right) + \left( 3 \cdot 10 ^ { 1 } \right)$ 
A)  $\left( 6 \cdot 10 ^ { 0 } \right) + \left( 8 \cdot 10 ^ { 1 } \right) + \left( 9 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 3 } \right) + \left( 3 \cdot 10 ^ { 4 } \right)$ 
B)  $\left( 6 \cdot 10 ^ { 4 } \right) + \left( 8 \cdot 10 ^ { 3 } \right) + \left( 9 \cdot 10 ^ { 2 } \right) + \left( 6 \cdot 10 ^ { 1 } \right) + \left( 3 \cdot 10 ^ { 0 } \right)$ 
C)  $\left( 6 \cdot 10 ^ { 1 } \right) + \left( 8 \cdot 10 ^ { 2 } \right) + \left( 9 \cdot 10 ^ { 3 } \right) + \left( 6 \cdot 10 ^ { 4 } \right) + \left( 3 \cdot 10 ^ { 5 } \right)$ 
D)  $\left( 6 \cdot 10 ^ { 5 } \right) + \left( 8 \cdot 10 ^ { 4 } \right) + \left( 9 \cdot 10 ^ { 3 } \right) + \left( 6 \cdot 10 ^ { 2 } \right) + \left( 3 \cdot 10 ^ { 1 } \right)$

Question 9

Find the sum or product using the requested clock system.
-0930 + 1640 in the military 24-hour clock system

Accepted Answer

A) 0310 
B) 2610 
C) 2570 
D) 0210 
A) 0310 
B) 2610 
C) 2570 
D) 0210

Question 10

Convert the number to binary form.
-40 decimal

Accepted Answer

A)  $101010 _ { \text {two } }$ 
B)  $100100 _ { \text {two } }$ 
C)  $101000 _ { \text {two } }$ 
D)  $100101 _ { \text {two } }$ 
A)  $101010 _ { \text {two } }$ 
B)  $100100 _ { \text {two } }$ 
C)  $101000 _ { \text {two } }$ 
D)  $100101 _ { \text {two } }$

Question 11

Convert from binary form to the indicated base.
-$10010101 _ { \text {two } }$ to base sixteen

Accepted Answer

A)   $22 _ { \text {sixteen } }$ 
B)   $95 _ { \text {sixteen } }$ 
C)   $1616 _ { \text {sixteen } }$ 
D)  $44 _ { \text {sixteen } }$ 
A)   $22 _ { \text {sixteen } }$ 
B)   $95 _ { \text {sixteen } }$ 
C)   $1616 _ { \text {sixteen } }$ 
D)  $44 _ { \text {sixteen } }$

Question 12

Convert from binary form to the indicated base.
-1011000010110000 two to base sixteen

Accepted Answer

A)  $\mathrm { B } 00 \mathrm {~A} _ { \text {sixteen } }$ 
B)  $1313_ \text { sixteen }$ 
C)  $\mathrm { B } 0 \mathrm {~B} 0 _ { \text {sixteen } }$ 
D)  $130260 _\text { sixteen }$ 
A)  $\mathrm { B } 00 \mathrm {~A} _ { \text {sixteen } }$ 
B)  $1313_ \text { sixteen }$ 
C)  $\mathrm { B } 0 \mathrm {~B} 0 _ { \text {sixteen } }$ 
D)  $130260 _\text { sixteen }$

Question 13

Identify the number represented on the abacus.
-

Accepted Answer

A)  55,555 
B)  99,999 
C)  11 ,111 
D)  66,666 
A)  55,555 
B)  99,999 
C)  11 ,111 
D)  66,666

Question 14

Convert the Chinese numeral to Hindu-Arabic form.
-

Accepted Answer

A)  4900 
B)  409 
C)  490 
D)  4090 
A)  4900 
B)  409 
C)  490 
D)  4090

Question 15

Find the sum or product using the requested clock system.
-1400 + 1900 in the military 24-hour clock system

Accepted Answer

A) 12100 
B) 0900 
C) 0930 
D) 1900 
A) 12100 
B) 0900 
C) 0930 
D) 1900

Question 16

Write (in the same base) the counting numbers just before and just after 68nine.

Accepted Answer

A)  $66 _\text { nine, } 72_ \text { nine }$ 
B)  $67 _\text { nine }$, $71 _ { \text {nine } }$ 
C)  $67_ \text { nine }$$70 _ { \text {nine } }$ 
D)  $67 _\text { nine }$, $101_{\text {nine }}$ 
A)  $66 _\text { nine, } 72_ \text { nine }$ 
B)  $67 _\text { nine }$, $71 _ { \text {nine } }$ 
C)  $67_ \text { nine }$$70 _ { \text {nine } }$ 
D)  $67 _\text { nine }$, $101_{\text {nine }}$

Question 17

Identify the number represented on the abacus.
-

Accepted Answer

A)  90,928 
B)  51,528 
C)  91,928 
D)  50,528 
A)  90,928 
B)  51,528 
C)  91,928 
D)  50,528

Question 18

Convert the Hindu-Arabic numeral to Roman form.
-$9,232,507$

Accepted Answer

A)    
B)    
C)   
D)    
A)    
B)    
C)   
D)

Question 19

Use the requested method to find the product.
-11 ·244; use Napier's rods

Accepted Answer

A) 2784 
B) 2674 
C) 2684 
D) 2694 
A) 2784 
B) 2674 
C) 2684 
D) 2694

Question 20

Convert the decimal number to the given base.
-2,874 to base five

Accepted Answer

A)  $42424 _\text { five }$ 
B)  $42444 _ { \text {five } }$ 
C)  $42422 _\text { five }$ 
D)  $42222 _\text { five }$ 
A)  $42424 _\text { five }$ 
B)  $42444 _ { \text {five } }$ 
C)  $42422 _\text { five }$ 
D)  $42222 _\text { five }$

Determine the letters or numbers. -Translate "Bob" into an ASCII string of binary digits.

Convert from binary form to the indicated base. - $11100 _ { \text {two } }$ to base ten

Convert the Chinese numeral to Hindu-Arabic form. -

Convert the number to decimal form. - $21 \mathrm { E } _ { \text {twelve } } \left( \mathrm { T } = 10 _ { \text {ten } } , \mathrm { E } = 11 _ { \text {ten } } \right)$

Solve the problem. -A restaurant manager gets a weekend off every 8 weeks. The manager is planning a trip for next year. If he has already worked 6 weekends in a row following a weekend off, what is the first Week, after 49 weeks from this week, that he will have a weekend off?

Convert the decimal number to the given base. -13,562 to base seven

Solve the problem. -If Friday is your starting day, what day will it be 3 years, 344 days from Friday? (Assume no leap years.)

Write the number in expanded form. -68,963

Find the sum or product using the requested clock system. -0930 + 1640 in the military 24-hour clock system

Convert the number to binary form. -40 decimal

Convert from binary form to the indicated base. - $10010101 _ { \text {two } }$ to base sixteen

Convert from binary form to the indicated base. -1011000010110000 two to base sixteen

Identify the number represented on the abacus. -

Convert the Chinese numeral to Hindu-Arabic form. -

Find the sum or product using the requested clock system. -1400 + 1900 in the military 24-hour clock system

Write (in the same base) the counting numbers just before and just after 68_nine.

Identify the number represented on the abacus. -

Convert the Hindu-Arabic numeral to Roman form. - $9,232,507$

Use the requested method to find the product. -11 ·244; use Napier's rods

Convert the decimal number to the given base. -2,874 to base five

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Exam 4: Numeration Systems

Determine the letters or numbers. -Translate "Bob" into an ASCII string of binary digits.

Convert from binary form to the indicated base. - 11100two 11100 _ { \text {two } }11100two ​ to base ten

Convert the Chinese numeral to Hindu-Arabic form. -

Convert the number to decimal form. - 21Etwelve (T=10ten ,E=11ten )21 \mathrm { E } _ { \text {twelve } } \left( \mathrm { T } = 10 _ { \text {ten } } , \mathrm { E } = 11 _ { \text {ten } } \right)21Etwelve ​(T=10ten ​,E=11ten ​)

Solve the problem. -A restaurant manager gets a weekend off every 8 weeks. The manager is planning a trip for next year. If he has already worked 6 weekends in a row following a weekend off, what is the first Week, after 49 weeks from this week, that he will have a weekend off?

Convert the decimal number to the given base. -13,562 to base seven

Solve the problem. -If Friday is your starting day, what day will it be 3 years, 344 days from Friday? (Assume no leap years.)

Write the number in expanded form. -68,963

Find the sum or product using the requested clock system. -0930 + 1640 in the military 24-hour clock system

Convert the number to binary form. -40 decimal

Convert from binary form to the indicated base. - 10010101two 10010101 _ { \text {two } }10010101two ​ to base sixteen

Convert from binary form to the indicated base. -1011000010110000 two to base sixteen

Identify the number represented on the abacus. -

Convert the Chinese numeral to Hindu-Arabic form. -

Find the sum or product using the requested clock system. -1400 + 1900 in the military 24-hour clock system

Write (in the same base) the counting numbers just before and just after 68nine.

Identify the number represented on the abacus. -

Convert the Hindu-Arabic numeral to Roman form. - 9,232,5079,232,5079,232,507

Use the requested method to find the product. -11 ·244; use Napier's rods

Convert the decimal number to the given base. -2,874 to base five

The Art of Problem Solving

The Basic Concepts of Set Theory

Introduction to Logic

Number Theory

The Real Numbers and Their Representations

The Basic Concepts of Algebra

Graphs, Functions, and Systems of Equations and Inequalities

Geometry

Counting Methods

Probability

Statistics

Personal Financial Management

Trigonometry Formerly

Graph Theory

Voting and Apportionment

Filters

Convert from binary form to the indicated base. - $11100 _ { \text {two } }$ to base ten

Convert the number to decimal form. - $21 \mathrm { E } _ { \text {twelve } } \left( \mathrm { T } = 10 _ { \text {ten } } , \mathrm { E } = 11 _ { \text {ten } } \right)$

Convert from binary form to the indicated base. - $10010101 _ { \text {two } }$ to base sixteen

Write (in the same base) the counting numbers just before and just after 68_nine.

Convert the Hindu-Arabic numeral to Roman form. - $9,232,507$