Number Bases Worksheet
Explore different number bases, conversions, and arithmetic operations in various base systems for Grade 11 Math.
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Number Bases Worksheet
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Date:
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Read each question carefully and provide your answer in the space provided. Show all your work for full credit.
1. The base-10 number system is also known as the system.
2. In a base-b number system, there are unique digits.
3. The binary number system uses the digits and .
1. What is the decimal equivalent of the binary number 10110₂?
18
22
24
26
2. Which of the following is the hexadecimal representation of the decimal number 255?
FF₁₆
FE₁₆
100₁₆
EF₁₆
1. Convert the decimal number 47 to base 5.
2. Convert the octal number 37₂ to base 10.
3. Convert the hexadecimal number A3₁₆ to binary.
1. Add the binary numbers 1011₂ + 110₂.
2. Subtract the binary numbers 1101₂ - 101₂.
3. Multiply the octal numbers 12₈ × 3₈.
1. The largest digit in base 7 is 7.
True
False
2. The number 10₂ is equal to the number 2₁₀.
True
False
1. A computer stores information using binary digits. If a system uses 8-bit words, how many different values can be represented?
2. Explain why the concept of place value is crucial in understanding number bases.
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