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Binary Number System Basics

Understand the fundamentals of the binary number system, including converting between binary and decimal, and identifying place values.

Grade 6 Math Number SenseBinary Number System
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Includes

TextMultiple ChoiceFill in the Blanks2 Short AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.6.NS.B.4

Topics

binarynumber systembase-2decimalgrade 6 math
9 sections · Free to use · Printable
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Binary Number System Basics

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Read each question carefully and answer to the best of your ability. Show your work where necessary.

The binary number system is a base-2 system, meaning it only uses two digits: 0 and 1. This system is crucial for computers and digital electronics. Each position in a binary number represents a power of 2.

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

a

Base 10

b

Base 2

c

Base 8

d

Base 16

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

3. The decimal number 5 can be written as   in binary.

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

5. The binary number 10 represents the decimal number 1.

T

True

F

False

6. Convert the decimal number 13 to its binary equivalent. Show your steps.

7. Locate the decimal number 7 on the number line below. Then, write its binary equivalent next to it.

012345678