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Number Bases Exploration

Explore different number bases, convert between them, and perform basic operations in various bases.

Grade 8 Math Number SenseNumber Bases
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Includes

Fill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.NS.A.2

Topics

number basesbase conversionmathgrade 8
7 sections · Free to use · Printable
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Number Bases Exploration

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Read each question carefully and provide your answers in the space provided. Show all your work for conversion and calculations.

1. The base-10 number system is also known as the   system.

2. In base 5, the digits used are  .

3. To convert a number from a different base to base 10, we use   notation.

1. Which of the following is the correct representation of the decimal number 13 in binary (base 2)?

a

1011₂

b

1101₂

c

1110₂

d

1001₂

2. What is the decimal equivalent of the number 23₄?

a

9

b

11

c

12

d

10

1. Convert the decimal number 25 to base 3. Show your work.

2. Convert the number 1A₁₆ (hexadecimal) to its decimal equivalent. Show your work.

1. The number 7 in base 8 is written as 7₈.

T

True

F

False

2. In base 16 (hexadecimal), the digit 'F' represents the decimal value 15.

T

True

F

False

1. A computer stores data in binary. If a certain memory location holds the binary number 10110₂, what is its decimal value? Explain how you found your answer.