Decimal to Binary Conversion Worksheet
Convert decimal numbers to binary and understand the underlying principles of number systems.
Includes
Standards
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 for full credit.
1. The base of the decimal number system is , while the base of the binary number system is .
2. In binary, a '1' represents an 'on' state and a '0' represents an ' ' state.
3. To convert a decimal number to binary, you repeatedly divide the decimal number by and record the .
4. Convert the decimal number 25 to binary. Show your steps.
5. Convert the decimal number 58 to binary. Show your steps.
6. Which of the following is the binary equivalent of the decimal number 13?
1011
1101
1001
1110
7. What is the decimal number corresponding to the binary number 10101?
19
21
23
25
8. The binary number 1100 is equivalent to the decimal number 12.
True
False
9. To convert a fractional decimal number to binary, you multiply the fractional part by 2 and take the integer part as the binary digit.
True
False
10. Explain why the binary system is fundamental to computer science and digital technology.
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