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Binary Number System Worksheet

Explore the binary number system, conversions between binary and decimal, and basic binary operations for Grade 9 Math.

Grade 9 Math Number SenseBinary Number System
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Includes

Multiple ChoiceFill in the Blanks4 Short AnswerTrue / False

Standards

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

Topics

mathbinarynumber systemgrade 9
9 sections · Free to use · Printable
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Binary Number System Review

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Read each question carefully and provide your answers in the space provided. Show all your work for conversion and calculations.

1. What is the base of the binary number system?

a

8

b

10

c

2

d

16

2. Which of the following is NOT a valid binary digit?

a

0

b

1

c

2

d

Both a and b are valid

3. The binary system is also known as base- .

4. In binary, each digit is called a  .

5. Convert the binary number 1011₂ to its decimal equivalent.

6. Convert the binary number 11010₂ to its decimal equivalent.

7. Convert the decimal number 23 to its binary equivalent.

8. Convert the decimal number 50 to its binary equivalent.

9. The binary number 100₂ is equal to the decimal number 4.

T

True

F

False

10. Adding 1 to the binary number 1₂ results in 10₂.

T

True

F

False

11. Add the binary numbers 101₂ and 011₂.

12. Add the binary numbers 1101₂ and 1010₂.

13. Explain how the concept of place value applies to the binary number system, providing an example.