Decimal to Binary Conversion Worksheet
Convert decimal numbers to binary and understand the conversion process.
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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 applicable.
1. The base of the decimal number system is , while the base of the binary number system is .
2. In binary, the only digits used are and .
3. The decimal number 8 can be represented in binary as .
4. Convert the decimal number 25 to its binary equivalent.
5. Convert the decimal number 78 to its binary equivalent.
6. Which of the following binary numbers represents the decimal number 13?
1101
1011
1110
1001
7. What is the decimal equivalent of the binary number 10010?
18
20
22
24
8. The binary number 111 is equivalent to the decimal number 7.
True
False
9. Converting a decimal number to binary involves repeatedly dividing by 10.
True
False
10. Explain the process of converting a decimal number to binary using the division-by-2 method. Provide an example to illustrate your explanation.