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
Take note.
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:
QUESTION
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
| 5 | |
3. Put the base ten number on the TOP RIGHT side of your table
| 5 | 74 |
4. Divide the base ten number by the other base
| 5 | |
5. Write your result under the base 10 number
| 5 | |
| 14 |
6. Write the remainder in front of your result
| 5 | |
| 14 remainder » 4 |
7. Repeat step — 4, 5 and 6 for every result until your result is less than the other base
| 5 | |
| 5 | |
| 2 remainder » 4 |
8. Once your result is less than the other base, write ZERO as your next result
| 5 | 74 |
| 5 | |
| 5 | |
| 0 |
9. Put your last result as the remainder
| 5 | 74 |
| 5 | |
| 5 | |
| 0 remainder » 2 |
10. Write out the remainders from the BOTTOM to the TOP
= 244
FINAL ANSWER:
74 (in base ten)
= 244 (in base five)
Test yourself
Click on the link below to practice past questions on Number Base now.
- PRACTICE QUESTIONS
GOOD LUCK.
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