math
posted by sarah .
Convert the baseten number to a numeral in the indicated base.
329 to base six

Find the greatest power of 6 that is less than or equal to 329.
6^0 = 1
6^1 = 6
6^2 = 36
6^3 = 216
6^4 = 1296
So you need to start with 6^3.
Divide 329 by 216, then take the remainder and go to the next lowest power.
329 / 216 = 1 R 113
Now divide 113 by 6^2
113 / 36 = 3 R 5
Now divide 5 by 6^1
5 / 6 = 0 R 5
Now divide 5 by 6^0
5 / 1 = 5 R 0
Using the quotients, the number in base 6 is 1305. 
You can also do this the other way around. Compute the last digit by taking the remainder after division by 6:
329 mod 6 = 5
Subtract 5 and divide by 6 to obtain:
(329  5)/6 = 54
Then the first digit of 54 in base 6 will be the next digit. So, we can just iterate the process with 329 replaced by 54:
54 mod 6 = 0 : next digit is 0
54/6 = 9
9 Mod 6 = 3 : next digit is 3
(9  3)/6 = 1 which is simply 1 in base 6, so the last digit is 1.
Respond to this Question
Similar Questions

Math
Convert the baseten number to a numeral in the indicated base. 15 to base two 
College Math 213
write each of the following in the indicated base. 1011two to base ten 1574 to base twelve MCMLIV to base ten 
Math
Convert the baseten number to a numeral in the indicated base. 503 to base five A) 3040five B) 4030five C) 3004five D) 4003five 
math 118
use divisions to convert the base ten numeral 555 to base six 
math
Convert the baseten number to a numeral in the indicated base. 40 to base two 
Math for teachers
Convert the baseten number to a numeral in the indicated base. 19) 15 to base two 19) ______ A) 11110two B) 111two C) 1110two D) 1111two 
Math
Write each of the following in the indicated base. (a) 1021three to base ten. (b) 534 to base twelve (c) MCMLXII to base ten 
Math
Use division to convert the base ten numeral 35 to base five. 
Math
Convert the following baseten numbers to a numerical in the indicated bases: a. 303 in base three b. 1876 in base twelve 
Math
Convert the baseten number to a number in the indicated base. 12 to base six. I have no clue how to even do this. Help please?