Number Bases Worksheet

Explore different number bases, conversions, and arithmetic operations in various base systems for Grade 11 Math.

Grade 11 Math Number SenseNumber Bases

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Includes

Fill in the BlanksMultiple Choice3 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1.ACCSS.MATH.CONTENT.HSN.VM.A.3

Topics

number basesmathematicsgrade 11number systems

8 sections · Free to use · Printable

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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?

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.