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Introduction to Binary Code

This worksheet introduces sixth-grade students to the concept of binary code, including converting between binary and decimal numbers.

Grade 6 Math Number SenseBinary Coding
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Includes

2 TextFill in the BlanksMultiple Choice2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.6.NS.B.3CCSS.MATH.CONTENT.6.EE.A.2

Topics

binarycodingdecimalnumber sensegrade 6
9 sections · Free to use · Printable
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Introduction to Binary Code

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Read each question carefully and follow the instructions to answer. Show your work where requested.

Binary code is the language of computers. It uses only two symbols: 0 and 1. These are called 'bits'. Just like our decimal system uses powers of 10 (1, 10, 100, 1000...), binary uses powers of 2 (1, 2, 4, 8, 16...).

1. Binary code uses only two symbols:   and  . These are called  .

2. In the binary system, we use powers of  .

3. Which of the following is NOT a binary number?

a

101

b

1100

c

201

d

1

4. Convert the binary number 1011 to its decimal equivalent. Show your work.

5. Convert the binary number 110 to its decimal equivalent. Show your work.

6. Convert the decimal number 7 to its binary equivalent. Show your work.

7. Convert the decimal number 13 to its binary equivalent. Show your work.

8. The binary number 10 represents the decimal number 2.

T

True

F

False

9. Computers use the decimal system to process information.

T

True

F

False

10. What is the largest decimal number you can represent with 4 bits (four binary digits)? Explain your answer.