Question 1

Convert the Hindu-Arabic numeral to Egyptian form.
-3067

Accepted Answer

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

Question 2

Convert the number to the indicated base.
-$300_{\text {seven }}$ to base sixteen

Accepted Answer

A)  $33 _ { \text {sixteen } }$ 
B)  $18 _ { \text {sixteen } }$ 
C)  $147 _ { \text {sixteen } }$ 
D)  $93 _ { \text {sixteen } }$ 
A)  $33 _ { \text {sixteen } }$ 
B)  $18 _ { \text {sixteen } }$ 
C)  $147 _ { \text {sixteen } }$ 
D)  $93 _ { \text {sixteen } }$

Question 3

Convert the Hindu-Arabic numeral to Roman form.
-1867

Accepted Answer

A) MDCCLXVII 
B) MDCCCLXVII 
C) MDCCCXLVII 
D) MDCCLLXVII 
A) MDCCLXVII 
B) MDCCCLXVII 
C) MDCCCXLVII 
D) MDCCLLXVII

Question 4

$\overline{\overline{\mathrm{VCDID}}} {\mathrm{VXXIII}}$

Accepted Answer

A)  $5,151,533$ 
B)  $5,501,933$ 
C)  $5,401,803$ 
D)  $5,401,533$ 
A)  $5,151,533$ 
B)  $5,501,933$ 
C)  $5,401,803$ 
D)  $5,401,533$

Question 5

Find the sum or product using the requested clock system.
-7 ·16 in 12-hour clock arithmetic

Accepted Answer

A) 11 
B) 16 
C) 5 
D) 4 
A) 11 
B) 16 
C) 5 
D) 4

Question 6

Find all positive solutions for the equation.
-(2 + x)≡ 5 (mod 4)

Accepted Answer

A) {4, 6, 8, 10, 12, 14, ...} 
B) {0, 2, 4, 6, 8, 10, ...} 
C) {3, 7, 11, 15, 19, 23, ...} 
D) None 
A) {4, 6, 8, 10, 12, 14, ...} 
B) {0, 2, 4, 6, 8, 10, ...} 
C) {3, 7, 11, 15, 19, 23, ...} 
D) None

Question 7

Decide whether the statement is true or false.
-A base eleven numeral is even if and only if its ones digit is even.

Accepted Answer

A) True 
 B)False

Question 8

List the first 10 counting numbers in base 16.

Accepted Answer

A) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 
B) 1, 2, 3, 4, 5, 6, 7, 8, 9, 11 
C) 1, 2, 3, 4, 5, 6, 7, 8, 9, A 
D) 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B 
A) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 
B) 1, 2, 3, 4, 5, 6, 7, 8, 9, 11 
C) 1, 2, 3, 4, 5, 6, 7, 8, 9, A 
D) 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B

Question 9

Books are assigned identification numbers called ISBNs. Each ISBN is a ten-digit number such as $0 - 673 - 99893 - 2$. The final digit is called the check digit which is determined on the basis of modular arithmetic. The final (check) digit is obtained as follows: start at the left and multiply the first nine digits of the ISBN number by $10,9,8,7,6,5,4,3$, and 2 respectively. Then add these products. The check digit is the smallest number that must be added to the result to get a multiple of 11 .
Find the check digit for the ISBN 0-681-81927-__.

Accepted Answer

A)  1 
B)  7 
C)  8 
D)  4 
A)  1 
B)  7 
C)  8 
D)  4

Question 10

Convert from binary form to the indicated base.
-$1101000010_{\text {two }}$ to base sixteen

Accepted Answer

A)  $211 _ { \text {sixteen } }$ 
B)   $1688 _ { \text {sixteen } }$ 
C)   $422 _ { \text {sixteen } }$ 
D)   $342_ { \text {sixteen } }$ 
A)  $211 _ { \text {sixteen } }$ 
B)   $1688 _ { \text {sixteen } }$ 
C)   $422 _ { \text {sixteen } }$ 
D)   $342_ { \text {sixteen } }$

Question 11

Determine the letters or numbers.
-Write the binary code for the letter $Q$.

Accepted Answer

A)  100100 
B)  1010100 
C)  1010001 
D)  1010010 
A)  100100 
B)  1010100 
C)  1010001 
D)  1010010

Question 12

Convert the number to binary form.
-15 decimal

Accepted Answer

A)  $1111 _ { \text {two } }$ 
B)  $111 _ { \text {two } }$ 
C)  $1110 _ { \text {two } }$ 
D)  $11110 _ { \text {two } }$ 
A)  $1111 _ { \text {two } }$ 
B)  $111 _ { \text {two } }$ 
C)  $1110 _ { \text {two } }$ 
D)  $11110 _ { \text {two } }$

Question 13

Convert the number to binary form.
-257eight

Accepted Answer

A)  $10101111 _ { \text {two } }$ 
B)  $101010000 _ { \text {two } }$ 
C)  $100010100 _ { \text {two } }$ 
D)  $11110101 _ { \text {two } }$ 
A)  $10101111 _ { \text {two } }$ 
B)  $101010000 _ { \text {two } }$ 
C)  $100010100 _ { \text {two } }$ 
D)  $11110101 _ { \text {two } }$

Question 14

Perform the addition or subtraction and give your answer in Hindu-Arabic form.
-

Accepted Answer

A)  219 
B)  209 
C)  119 
D)  229 
A)  219 
B)  209 
C)  119 
D)  229

Question 15

Determine the letters or numbers.
-Break 1101100110000111011011110000 into groups of seven digits and write as lower case letters.

Accepted Answer

A) map 
B) swamp 
C) lamp 
D) damp 
A) map 
B) swamp 
C) lamp 
D) damp

Question 16

Find the sum or product using the requested clock system.
-8 + 10 in 12-hour clock arithmetic

Accepted Answer

A) 8 
B) 6 
C) 0 
D) 2 
A) 8 
B) 6 
C) 0 
D) 2

Question 17

Write the number as a Mayan numeral.
-51

Accepted Answer

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

Question 18

Write the number as a Mayan numeral.
-3969

Accepted Answer

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

Question 19

Decide whether the statement is true or false.
-A numeral in an odd base is odd if its ones digit is odd.

Accepted Answer

A) True 
 B)False

Question 20

Perform the addition or subtraction and give your answer in Hindu-Arabic form.
-

Accepted Answer

A)  26 
B)  42 
C)  22 
D)  46 
A)  26 
B)  42 
C)  22 
D)  46

Convert the Hindu-Arabic numeral to Egyptian form. -3067

Convert the number to the indicated base. - $300_{\text {seven }}$ to base sixteen

Convert the Hindu-Arabic numeral to Roman form. -1867

$\overline{\overline{\mathrm{VCDID}}} {\mathrm{VXXIII}}$

Find the sum or product using the requested clock system. -7 ·16 in 12-hour clock arithmetic

Find all positive solutions for the equation. -(2 + x)≡ 5 (mod 4)

Decide whether the statement is true or false. -A base eleven numeral is even if and only if its ones digit is even.

List the first 10 counting numbers in base 16.

Convert from binary form to the indicated base. - $1101000010_{\text {two }}$ to base sixteen

Determine the letters or numbers. -Write the binary code for the letter $Q$ .

Convert the number to binary form. -15 decimal

Convert the number to binary form. -257eight

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

Determine the letters or numbers. -Break 1101100110000111011011110000 into groups of seven digits and write as lower case letters.

Find the sum or product using the requested clock system. -8 + 10 in 12-hour clock arithmetic

Write the number as a Mayan numeral. -51

Write the number as a Mayan numeral. -3969

Decide whether the statement is true or false. -A numeral in an odd base is odd if its ones digit is odd.

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

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

Convert the Hindu-Arabic numeral to Egyptian form. -3067

Convert the number to the indicated base. - 300seven 300_{\text {seven }}300seven ​ to base sixteen

Convert the Hindu-Arabic numeral to Roman form. -1867

VCDID‾‾VXXIII\overline{\overline{\mathrm{VCDID}}} {\mathrm{VXXIII}}VCDIDVXXIII

Find the sum or product using the requested clock system. -7 ·16 in 12-hour clock arithmetic

Find all positive solutions for the equation. -(2 + x)≡ 5 (mod 4)

Decide whether the statement is true or false. -A base eleven numeral is even if and only if its ones digit is even.

List the first 10 counting numbers in base 16.

Convert from binary form to the indicated base. - 1101000010two 1101000010_{\text {two }}1101000010two ​ to base sixteen

Determine the letters or numbers. -Write the binary code for the letter QQQ .

Convert the number to binary form. -15 decimal

Convert the number to binary form. -257eight

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

Determine the letters or numbers. -Break 1101100110000111011011110000 into groups of seven digits and write as lower case letters.

Find the sum or product using the requested clock system. -8 + 10 in 12-hour clock arithmetic

Write the number as a Mayan numeral. -51

Write the number as a Mayan numeral. -3969

Decide whether the statement is true or false. -A numeral in an odd base is odd if its ones digit is odd.

Perform the addition or subtraction and give your answer in Hindu-Arabic form. -

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 the number to the indicated base. - $300_{\text {seven }}$ to base sixteen

$\overline{\overline{\mathrm{VCDID}}} {\mathrm{VXXIII}}$

Convert from binary form to the indicated base. - $1101000010_{\text {two }}$ to base sixteen

Determine the letters or numbers. -Write the binary code for the letter $Q$ .