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Binary Number System Worksheet

Explore the binary number system with this Grade 7 math worksheet. Convert between binary and decimal, understand place values, and solve problems.

Grade 7 Math Number SenseBinary Number System
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Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.7.NS.A.2

Topics

binarynumber systemdecimalgrade 7math
7 sections · Free to use · Printable
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Binary Number System

Name:

Date:

Score:

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

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

2. In the binary system, each digit's place value is a power of  .

3. The decimal number 5 is represented as   in binary.

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

a

9

b

11

c

13

d

15

2. Which of the following is the binary representation of the decimal number 20?

a

10010

b

10100

c

11000

d

11100

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

2. Convert the decimal number 18 to its binary equivalent.

1. The binary system is also known as base-2.

T

True

F

False

2. The binary number 10 is equal to the decimal number 1.

T

True

F

False

Consider a simple 4-bit binary number. What is the largest decimal number that can be represented with 4 bits?