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Binary Coding Fundamentals

Explore the basics of binary coding, including converting between binary and decimal, and understanding binary operations.

Grade 11 Math Number SenseBinary Coding
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Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseLong Answer

Topics

HSA.APR.C.4HSA.SSE.B.3binarycodingdecimalnumber systemsgrade 11
7 sections · Free to use · Printable
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Binary Coding Fundamentals

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

1. Convert the decimal number 27 to its 8-bit binary equivalent:  

2. The decimal number 150 is represented in binary as:  

3. Convert the decimal number 73 to its 8-bit binary equivalent:  

4. What is the decimal equivalent of the binary number 10110?

a

20

b

22

c

24

d

26

5. The binary number 11111 represents which decimal value?

a

15

b

31

c

63

d

127

6. Add the following binary numbers. Show your work.

1011 + 0110

7. Add the following binary numbers. Show your work.

11011 + 10101

8. The binary system uses base 10.

T

True

F

False

9. A 'bit' is the smallest unit of data in a computer.

T

True

F

False

10. Explain why computers use binary code instead of decimal code. Provide at least two reasons.