Change of Base

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Taught by MrA
  • Currently 4.0/5 Stars.
3293 views | 2 ratings
Meets NCTM Standards:
Features a SMART Board
Errors in this video:

There is an error in the first example problem. 3^5 is calculated incorrectly (should be 243 instead of 273).

Lesson Summary:

In this lesson, we learn about bases and how to convert between different bases, such as binary and base 10. The base is the number that is being multiplied and raised to an exponent, while the exponent tells you how many times to multiply the base. We also learn how to interpret numbers written in different bases and how to convert them to base 10 by multiplying the digit in each spot by the value of that spot and adding them together. Finally, we learn that there are 10 digits in base 10, but other bases can have fewer or more digits, and may even use letters to represent values.

Lesson Description:

An explanation of how bases (ie: Base 10, Base 2 / Binary) work, how to convert between bases, and how to interpret numbers written in different bases.

Additional Resources:
Questions answered by this video:
  • What is a base?
  • How do you change between bases?
  • How do you write a number in base 2?
  • How do you read a number in base 2?
  • How do you write a number in binary?
  • How do you read a number in binary?
  • Staff Review

    • Currently 4.0/5 Stars.
    A bottom-up approach to understanding bases other than base 10. It not only gives you a comprehensive understanding of what it means to have different bases, it also shows you practical examples and steps through how to convert numbers to different bases. A good lesson.
  • terrapin52

    • Currently 4.0/5 Stars.
    I like the explanation, but there was a math error in the first exercise explanation. 3 raised to the 5th power is not 273. It is 243. Oops! Nevertheless, I now understand the bases whereas I did not before watching this video, so thanks.