Binary Numbers Worksheet

Grade 11 math worksheet covering binary number conversions, arithmetic, and logic gates.

Grade 11 Math Number SenseBinary Numbers

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Includes

2 Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.APR.D.6CCSS.MATH.CONTENT.HSN.VM.A.1

Topics

binarynumbersmathgrade 11computer science

8 sections · Free to use · Printable

Binary Numbers: Conversions and Operations

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Read each question carefully and provide your answer in the space provided. Show all your work for conversion and arithmetic problems.

Convert the following binary numbers to their decimal equivalents:

1. 1011₂ = ₁₀

2. 11010₂ = ₁₀

3. 100011₂ = ₁₀

Convert the following decimal numbers to their binary equivalents:

4. 15₁₀ = ₂

5. 42₁₀ = ₂

6. 100₁₀ = ₂

Perform the following binary additions. Show your work.

7. 101₂ + 011₂

8. 1101₂ + 1010₂

Perform the following binary subtractions. Show your work.

9. 110₂ - 011₂

10. 1001₂ - 0110₂

11. Which logic gate outputs 1 only if all its inputs are 1?

OR Gate

AND Gate

NOT Gate

XOR Gate

Indicate whether the following statements are True (T) or False (F).

12. The binary number system uses base 10.

True

False

13. A byte is typically composed of 8 bits.

True

False