Decimal to Binary Conversion Worksheet
Convert decimal numbers to their binary equivalents and understand the concept of base-2 representation.
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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?
1001
1010
1100
0110
8. The binary number 100 represents the decimal number 4.
True
False
9. Explain in your own words why computers use the binary system instead of the decimal system.
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