#1

I am trying to help my little brother with his math homeowrk.....and its conversions to various bases. Now honestly I haven't done this stuff since I was his age. Can anybody clue me in?

#2

ALL YOUR BASE ARE BELONG TO US

#3

1,2,3,4,5,10,11,12,13,14,15,20,21,22,23,24,25 =

1,2,3,4,5, 6, 7, 8, 9,10,11,12,13,14,15,16,17 etc.

Same for base 8 base 7 whatever. If you don't care to count it out write it out one base system above the other and the values correspond.

Have fun. I have.

1,2,3,4,5, 6, 7, 8, 9,10,11,12,13,14,15,16,17 etc.

Same for base 8 base 7 whatever. If you don't care to count it out write it out one base system above the other and the values correspond.

Have fun. I have.

#4

for base five, think of there being a ones column, a fives column, a 25's column, etc, the way "normal" base ten numbers have a ones, tens, hundreds, etc.

so 25 would be 100 in base 5, or 31 (which is 3*8=24+1) in base 8, or 1101 (16+8+1) in base 2.

edit: it would also be 19 in hex

so 25 would be 100 in base 5, or 31 (which is 3*8=24+1) in base 8, or 1101 (16+8+1) in base 2.

edit: it would also be 19 in hex

*Last edited by iforgot539 at Oct 22, 2007,*

#5

"Hang on little bro, I'm going to go ask for help on my online guitar forum! Be back in a jiffy!"

But I think Jackal has it right. I forgot too.

But I think Jackal has it right. I forgot too.

#6

Jackal is doing base 6:

10 in base five is five, not 5. You can't have a "5" in base 5, just like there's no digit for "10" in base ten.

10 in base five is five, not 5. You can't have a "5" in base 5, just like there's no digit for "10" in base ten.

#7

Remember that in base 10, a number like 10345 is equal to 1*10^4 + 0*10^3 + 3*10^2 + 4*10^1 + 5*10^0. The same pattern holds in other bases, with the 10s replaced by the new base. So for example, in hex (base 16), 2869 = 2*16^3 + 8*16^2 + 6*16^1 + 9*16^0 (which, if you calculate it out, is 10234 in base 10). This is how you convert things into base 10.

To convert it the other way (There might be a better method, I'm making up this one off the top of my head), you can figure out the largest power of the new base that is smaller than the current number. If we were going to convert 10345 into hex, we would do so by trying different powers of 16 until we reached one that was larger than 10345.

Ex:

16^0 = 1 <--smaller than 10345.

16^1 = 16 <--smaller than 10345.

16^2 = 256 <--smaller than 10345.

16^3 = 4069 <--smaller than 10345.

16^4 = 65536 <--

Because 16^4 is larger than 10345, the number we will start at is 16^3, which is the largest power of 16 that is smaller than 10345.

We then divide 10345 by 16^3: 10345 / 16^3 =

We then repeat the process with the next smaller power of 16 and the remainder instead of the original number, and continue to repeat until we reach 16^0.

2153 / 16^2 =

105 / 16^1 =

9 / 16 ^ 0 =

This means that 10345 = 2*16^3 + 8*16^2 + 6*16^1 + 9*16^0, which is 2869 in hex.

Hope that helps. If you have any questions, I'll stick around for a bit.

To convert it the other way (There might be a better method, I'm making up this one off the top of my head), you can figure out the largest power of the new base that is smaller than the current number. If we were going to convert 10345 into hex, we would do so by trying different powers of 16 until we reached one that was larger than 10345.

Ex:

16^0 = 1 <--smaller than 10345.

16^1 = 16 <--smaller than 10345.

16^2 = 256 <--smaller than 10345.

16^3 = 4069 <--smaller than 10345.

16^4 = 65536 <--

**larger**than 10345.Because 16^4 is larger than 10345, the number we will start at is 16^3, which is the largest power of 16 that is smaller than 10345.

We then divide 10345 by 16^3: 10345 / 16^3 =

**2**, remainder**2153**.We then repeat the process with the next smaller power of 16 and the remainder instead of the original number, and continue to repeat until we reach 16^0.

2153 / 16^2 =

**8**, remainder**105**105 / 16^1 =

**6**, remainder**9**9 / 16 ^ 0 =

**9**, with no remainder.This means that 10345 = 2*16^3 + 8*16^2 + 6*16^1 + 9*16^0, which is 2869 in hex.

Hope that helps. If you have any questions, I'll stick around for a bit.