0
In base 6, the place positions are 7776s, 1296s, 216s, 36s, 6s, and 1s.
First, determine the number of 1296s. There is 1 amount of 1296.
The remaining amount, which is 2009 - 1296, is 713.
713 / 216 is 3 plus a remainder, so there are 3 amounts of 216.
The remaining amount, which is 713 - (216 x 3), is 65.
65 / 36 is 1 plus a remainder, so there is 1 amount of 36.
The remaining amount, which is 65 - 36, is 29.
29 / 6 is 4 plus a remainder, so there are 4 amounts of 6.
The remaining amount, which is 29 - (6 x 4), is 5.
So, there are 5 amounts of 1.
Therefore, 2009 in base 6 is 13,145.
Doublecheck: (1 x 1296) + (3 x 216) + (1 x 36) + (4 x 6) + (1 x 5)
= 1296 + 648 + 36 + 24 + 5 = 2009
Still curious? Ask our experts.
Chat with our AI personalities
Maxine
Rafa
EzraAdd your answer:
Earn +20 pts
How do you multiply 4 times 35 in base 6?
I would convert to base 10 , multiply and then convert back to base 6. 35 base 6 is 3 * 6 + 5 = 23 in base ten. 4 * 23 = 92 which is 2*36 + 3* 6 + 2 , in base 6 , the answer is 232 .
Base and exponent for 6 with power of 5?
Base 6, exponent 5.
What is 200base 6 converted to base 10?
200 (base 6) is 2 x 6^2 + 0 x 6^1 + 0 x 6^0 = 2 x 36(base 10) = 72 (base 10).
What number comes in the series 110-20-12-11-10?
The answer is 6.because the sequence is all the same numbers, but they are in different number bases.110= 6 in binary20= 6 in base 312= 6 in base 411= 6 in base 510= 6 in base 6all the rest of the numbers in the pattern would be 6, because we passed base 6 and all the other number bases have the digit '6' in them.
What is the representation of 256 in base six?
256 (base 10) = 1104 (base 6)
