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Decimal to Binary Conversion Worksheet

Convert decimal numbers to their binary equivalents and understand the concept of base-2 representation.

Grade 7 Math Number SenseDecimal to Binary Conversion
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.NS.A.2.D

Topics

decimalbinaryconversionbase-2number systemgrade 7 math
7 sections · Free to use · Printable
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Decimal to Binary Conversion

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Read each question carefully and convert the given decimal numbers to their binary equivalents. Show your work where indicated.

1. The decimal number system is also known as base- .

2. The binary number system uses only two digits:   and  .

3. To convert a decimal number to binary, you repeatedly divide the decimal number by   and record the  .

Convert the following decimal numbers to binary. Show your division steps.

4. Convert 13 to binary:

5. Convert 25 to binary:

6. Convert 42 to binary:

7. What is the binary equivalent of the decimal number 9?

a

1001

b

1010

c

1100

d

0110

8. The binary number 100 represents the decimal number 4.

T

True

F

False

9. Explain in your own words why computers use the binary system instead of the decimal system.