## Esmy 3 years ago Convert the numeral to a numeral in the base indicated. 16,629 to base 13

1. hartnn

u know a method to corvert a decimal number to other base number?

2. vikrantg4

oops.. sorry.. keep dividing the number by 13 and note down remainders.. and taking remainders from down to up.. right hexadecimal equivalents of them :P

3. Esmy

16629 / 13 = 1279 1279 * 13 = 16627 16629 - 16627 = 2 16629 in base 13 is 7752 ?

4. vikrantg4

damn i am sorry !! :(

5. Esmy

? :D wait I'm not right :(

6. hartnn

@vikrantg4 whats hexadecimal equivalent ?? u copied that from somewhere ?

7. hartnn

your first step is correct @Esmy , u get the remainder=2

8. hartnn

2nd step also correct, u get remainder = 5

9. hartnn

3rd step correct, remainder = 7

10. Esmy

I'm I correct over all :'D

11. hartnn

yup.

12. Esmy

YAYAYAY :'D thanks ^-^

13. hartnn

welcome ^_^

14. amistre64

another method would be to write down the exponential values of a base 13 system, and work it from there 13^4 13^3 13^2 13^1 13^0 28561 2197 169 13 1

15. Esmy

Ohh :o okay that seems cool. Ill try that one in my next one :)

16. amistre64

:) just to refresh my memory .... 16,629 is divisible by 13^3: 7 times , 1250 left over 1250 is divisible 13^2: 7 times , 67 left over 67 is divisible 13^1: 5 times , 2 left over \[16,629_{10}=7752_{13} \]

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