Home / Worksheets / Grade 10 / Math / Binary Code Basics

Binary Code Basics

Explore the fundamentals of binary code, including converting between binary and decimal, and basic binary operations.

Grade 10 Math Number SenseBinary Code
Use This Worksheet

Includes

Multiple ChoiceFill in the Blanks3 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA-APR.C.4CCSS.MATH.CONTENT.HSA-APR.D.6

Topics

binarycodedecimalnumber systemgrade 10 math
8 sections · Free to use · Printable
← More Math worksheets for Grade 10

Binary Code Basics

Name:

Date:

Score:

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

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

a

10

b

2

c

8

d

16

2. What is the decimal equivalent of the binary number 1011?

a

9

b

11

c

13

d

15

3. The binary system uses only two digits:   and  . These are called  .

4. To convert a decimal number to binary, you repeatedly divide the decimal number by   and record the  .

5. Convert the binary number 11010 to its decimal equivalent. Show your work.

6. Convert the decimal number 45 to its binary equivalent. Show your work.

7. The binary number 100 is equal to the decimal number 4.

T

True

F

False

8. In binary, each position represents a power of 10.

T

True

F

False

9. Explain why binary code is essential in computer science.