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.
Includes
Standards
Topics
Binary Code Basics
Name:
Date:
Score:
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
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