Math

posted by .

How do you convert a number to whatever base it indicates? For example: convert 252 base six to base five. I have tried posting for my teacher to help me, but he doesn't seem to get what I am asking. Can someone please explain the process and not just the answer? Thanks!!

  • Math -

    Most of the time, you would convert numbers from "foreign" bases to base 10, then convert to the target base by division.

    From a number in base n, we recognize that each digit from the right represents n^x, where x is the position from the right.

    So 2526
    = 2*6² + 5*6¹ + 2*6^0
    = 72 + 30 + 2
    = 10410

    To convert 10210 to base 5, we divide by 5 successively and collect the remainders as digits from the right.
    102/5=20R4
    20/5=4R0
    4/5=0R4
    So 10210 = 4045

  • Math -

    Thanks. How did it change from 104 base 10 to 102?

  • Math -

    102ten to base 5 is not 404five it is 402five

    102/5=20 r 2
    20/5=4 r 0
    4/5 =0 r 4
    so that gives you 402five

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    Can someone help me understand how to convert numbers to base numbers. Such as.... 1. 40 to base two 2. 502 to base eight 3. 42 to base five I have researched the web and cannot find a site that explains it in normal english! Any help …
  2. math

    Convert the base-ten number to a numeral in the indicated base. 329 to base six
  3. Math

    Convert the base-ten number to a numeral in the indicated base. 15 to base two
  4. Math Base

    Convert the number to the indicated base. 53six to base three
  5. math

    What would be the right way to convert base 16 to base 10, such as for an example, 1BD base 16 to base 10?
  6. 8th grade

    What would be the right way to convert base 16 to base 10, such as for an example, 1BD base 16 to base 10?
  7. Math

    Convert the base-ten number to a numeral in the indicated base. 503 to base five A) 3040five B) 4030five C) 3004five D) 4003five
  8. math

    Convert the base-ten number to a numeral in the indicated base. 40 to base two
  9. Math

    Convert 35 to a base number. Use this base five number & count in base five through next fifteen numbers.
  10. Math

    Convert the base-ten number to a number in the indicated base. 12 to base six. I have no clue how to even do this. Help please?

More Similar Questions