Convert the numeral to a numeral in the base indicated.

16,629 to base 13

Question

Convert the numeral to a numeral in the base indicated.

16,629 to base 13

hartnn · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

damn i am sorry !! :(

anonymous · Answer

? :D wait I'm not right :(

hartnn · Answer

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

hartnn · Answer

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

hartnn · Answer

2nd step also correct, u get remainder = 5

hartnn · Answer

3rd step correct, remainder = 7

anonymous · Answer

I'm I correct over all :'D

hartnn · Answer

yup.

anonymous · Answer

YAYAYAY :'D thanks ^-^

hartnn · Answer

welcome ^_^

amistre64 · Answer

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

anonymous · Answer

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

amistre64 · Answer

:)  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

$$16,629_{10}=7752_{13} $$