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Number Bases Worksheet

Explore different number bases including binary, octal, decimal, and hexadecimal with conversion and arithmetic exercises for Grade 9 students.

Grade 9 Math Number SenseNumber Bases
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Includes

Multiple ChoiceFill in the Blanks3 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1.ACCSS.MATH.CONTENT.HSA.SSE.A.1.B

Topics

number basesbinaryoctaldecimalhexadecimalgrade 9 math
8 sections · Free to use · Printable
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Number Bases Exploration

Name:

Date:

Score:

Read each question carefully and provide your answer in the space provided. Show all your work for conversion and arithmetic problems.

1. What is the base of the decimal number system?

a

2

b

8

c

10

d

16

2. How many unique digits are used in the binary number system?

a

1

b

2

c

8

d

10

3. The hexadecimal number system uses a base of  .

4. In base 5, the digits used are  .

5. Convert the binary number 10110₂ to its decimal equivalent.

6. Convert the decimal number 25 to its binary equivalent.

7. The number 1A₁₆ is a valid hexadecimal number.

T

True

F

False

8. The value of 10₂ is greater than the value of 10₈.

T

True

F

False

9. Convert the decimal number 47 to its hexadecimal equivalent.

10. Convert the hexadecimal number 2F₁₆ to its decimal equivalent.

11. Add the binary numbers: 1011₂ + 110₂. Show your work and provide the answer in binary.