Binary Numbers Worksheet
Grade 11 math worksheet covering binary number conversions, arithmetic, and logic gates.
Includes
Standards
Topics
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
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