Would you like to know how to use “repeated division” to convert base ten to other bases in Mathematics?
In this lesson,
You will see and learn the step-by-step method of using repeated division to convert base 10 to other bases.
ALSO SEE: How To Convert From Other Bases To Base Ten
A link for you to practice past questions on number bases is included at the end of this lesson.
Question on converting base 10 to other bases
Let’s take an example:
Convert 7410 to a number in base 5
1. Draw a table that looks like “T”
2. Put the other base on the TOP LEFT side of your table
3. Put the base ten number on the TOP RIGHT side of your table
4. Divide the base ten number by the other base
5. Write your result under the base 10 number
6. Write the remainder in front of your result
|14 remainder » 4|
7. Repeat step — 4, 5 and 6 for every result until your result is less than the other base
|2 remainder » 4|
8. Once your result is less than the other base, write ZERO as your next result
9. Put your last result as the remainder
|0 remainder » 2|
10. Write out the remainders from the BOTTOM to the TOP
74 (in base ten)
= 244 (in base five)
Click on the link below to practice past questions on Number Base now.
- PRACTICE QUESTIONS
Do you have something to ask on this topic? Comment below and a staff or fellow Topper will reply you.Let others know