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Decimal to Binary Conversion

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

Grade 6 Math Number SenseDecimal to Binary Conversion
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Includes

2 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.6.NS.B.2

Topics

mathgrade 6decimalbinarynumber senseconversion
6 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 requested.

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

2. The binary number system is also known as base- .

3. The only digits used in the binary system are   and  .

Convert the following decimal numbers to binary:

4. 5 =  

5. 12 =  

6. 20 =  

7. 31 =  

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

a

1001

b

1101

c

1010

d

1110

9. Which of the following is the correct binary representation of 15?

a

1011

b

1111

c

1000

d

1100

10. Convert the decimal number 25 to binary. Show all your steps.

11. Convert the decimal number 42 to binary. Show all your steps.