How To Convert Base 10 To Other Bases

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

574

4. Divide the base ten number by the other base

574

5. Write your result under the base 10 number

574
14

6. Write the remainder in front of your result

574
14 remainder » 4

7. Repeat step — 4, 5 and 6 for every result until your result is less than the other base

574
514 remainder » 4
2 remainder » 4

8. Once your result is less than the other base, write ZERO as your next result

574
514 remainder » 4
52 remainder » 4
0

9. Put your last result as the remainder

574
514 remainder » 4
52 remainder » 4
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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