Binary Code Basics

A worksheet covering the fundamentals of binary code, including conversion between binary and decimal, and simple binary operations, suitable for Grade 11 math students.

Grade 11 Math Number SenseBinary Code

Use This Worksheet

Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.1CCSS.MATH.CONTENT.HSA.SSE.B.3

Topics

binarydecimalnumber systemcomputer sciencegrade 11

8 sections · Free to use · Printable

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Binary Code Basics

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Date:

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Read each question carefully and provide your answers in the space provided. Show all your work where applicable.

1. Convert the following binary numbers to their decimal equivalents:

a) 10110₂

b) 110011₂

c) 1000001₂

2. Convert the following decimal numbers to their binary equivalents:

a) 27₁₀

b) 92₁₀

c) 150₁₀

3. In the binary number 10110₂, what is the place value of the leftmost '1'?

2⁰

2¹

2⁴

2⁵

4. Fill in the blanks with the correct terms:

a) A single binary digit is called a .

b) A group of eight bits is known as a .

c) The decimal number system uses base , while binary uses base .

5. Determine if the following statements are true or false:

a) The binary number 111₂ is equivalent to the decimal number 7₁₀.

True

False

b) In binary addition, 1 + 1 = 10.

True

False

6. Perform the following binary additions:

a) 101₂ + 011₂

b) 1101₂ + 1010₂