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Binary Number System Worksheet

Explore the binary number system, learn to convert between binary and decimal, and perform basic binary arithmetic.

Grade 8 Math Number SenseBinary Number System
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Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.8.NS.A.2

Topics

binarydecimalnumber systemgrade 8math
7 sections · Free to use · Printable
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Binary Number System

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

1. The binary number system uses only two digits:   and  .

2. In the decimal system, each position represents a power of  .

3. The binary equivalent of the decimal number 5 is  .

4. The decimal equivalent of the binary number 1010 is  .

1. Convert the decimal number 13 to its binary equivalent.

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

1. Convert the binary number 1101 to its decimal equivalent.

2. Convert the binary number 10011 to its decimal equivalent.

1. Which of the following is the largest binary number that can be represented with 4 bits?

a

1000

b

1010

c

1111

d

0111

2. What is the decimal equivalent of the binary number 1?

a

0

b

1

c

10

d

2

1. The binary number system is also known as base-10.

T

True

F

False

2. In binary, the digit '1' represents 'on' and '0' represents 'off'.

T

True

F

False