Number Bases Worksheet
Explore different number bases, conversions, and arithmetic operations for Grade 10 students.
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Number Bases Exploration
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Read each question carefully and provide your answers in the space provided. Show all your work for conversion and arithmetic problems.
1. In a base-10 system, each digit's place value is a power of .
2. The binary number system uses only two digits: and .
3. The hexadecimal number system uses base and includes digits 0-9 and letters A-F.
4. What is the decimal equivalent of the binary number 1011?
9
11
13
10
5. Convert the decimal number 27 to its binary equivalent.
6. Convert the binary number 110101 to its decimal equivalent.
7. Convert the decimal number 75 to its hexadecimal equivalent.
8. The number '2' exists in a base-2 (binary) number system.
True
False
9. Plot the decimal numbers 3, 7, and 10 on the number line below.
10. Explain why it is important to understand different number bases in computer science and digital electronics.