Decimal to Binary Conversion Worksheet

Convert decimal numbers to binary and vice versa, exploring the foundational concepts of number systems relevant to Grade 12 mathematics and computer science.

Grade 12 Math Number SenseDecimal to Binary Conversion

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA-APR.C.4CCSS.MATH.CONTENT.HSN-VM.A.1

Topics

mathnumber sensedecimalbinaryconversiongrade 12

7 sections · Free to use · Printable

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Decimal to Binary Conversion

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Read each question carefully and provide the best possible answer. Show all your work for conversion problems.

1. Convert the decimal number 87 to its binary equivalent. Show all steps of your calculation.

2. Convert the decimal number 255 to its binary equivalent. Show all steps of your calculation.

3. The binary number system is a base- number system, meaning it uses only two digits: and .

4. In binary, each position represents a power of .

5. What is the decimal equivalent of the binary number 10110?

6. Which of the following binary numbers represents the decimal number 13?

1101

1011

1110

1001

7. The decimal number 10 is represented as 1010 in binary.

True

False

8. The highest decimal number that can be represented with 4 bits is 15.

True

False

9. Explain why binary numbers are fundamental in computer science and digital electronics.