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Binary Number System Worksheet

Understanding and converting between binary and decimal number systems for Grade 11 students.

Grade 11 Math Number SenseBinary Number System
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Includes

Multiple ChoiceFill in the Blanks3 Short AnswerTrue / False

Standards

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

Topics

BinaryDecimalNumber SystemsGrade 11 Math
8 sections · Free to use · Printable
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Binary Number System

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Read each question carefully and answer to the best of your ability. Show all your work for conversion problems.

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

a

8

b

10

c

2

d

16

2. In the binary system, the only two digits used are   and  .

3. The decimal number 5 is represented as   in binary.

4. Convert the binary number 1101₂ to its decimal equivalent.

5. Convert the decimal number 27 to its binary equivalent.

6. The binary number 100₂ is equivalent to the decimal number 4.

T

True

F

False

7. Add the binary numbers 1011₂ and 110₂. Show your work.