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Binary Code Worksheet

A Grade 12 mathematics worksheet focused on binary code, including conversion, arithmetic, and logical operations.

Grade 12 Math Number SenseBinary Code
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Includes

2 Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1.ACCSS.MATH.CONTENT.HSA.SSE.B.3.C
8 sections · Free to use · Printable
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Binary Code Fundamentals

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

1. Convert the binary number 10110 to its decimal equivalent:  

2. Convert the binary number 110111 to its decimal equivalent:  

3. Convert the decimal number 27 to its binary equivalent:  

4. Convert the decimal number 105 to its binary equivalent:  

5. Add the following binary numbers: 1011 + 1101

6. Add the following binary numbers: 11101 + 01011

7. Subtract the following binary numbers: 1101 - 101

8. Subtract the following binary numbers: 10000 - 111

9. Which logic gate outputs TRUE only if both inputs are TRUE?

a

OR gate

b

AND gate

c

NOT gate

d

XOR gate

10. The binary number 100 represents the decimal number 4.

T

True

F

False