Number Conversion help

[Klick]

As a part of my ecryption program for class, I would 5 numbers to be put into 1 large number, by the following sequence:

8,24,7,0,3

Large Number = 8 * (27**4) + 24 * (27**3) + 7 * (27**2) + 0 * (27**1) + 3 * (27 **0)

The number in this case would be 4729026.
Converting the 5 numbers into 1 number was fairly simple to figure out on my own. I need help recovering numbers from that large number.

I figure that i can do this using mod by the series of powers of 27, and then subtract the remainder from the total

Like so:

code:

var largenum : int var smallnums : array 1 .. 5 of int var power :int := 1 largenum := 8 * (27 ** 4) + 24 * (27 ** 3) + 7 * (27 ** 2) + 0 * (27 ** 1) + 3 * (27 ** 0) for decreasing i : 5 .. 1     smallnums (i) := largenum     smallnums (i) := smallnums (i) mod 27 ** power     largenum -= smallnums (i)     power += 1 end for for i : 1 .. 5     put smallnums (i), "," .. end for

It works for the last 2 numbers for some, reason, but fails miserably on the first 3.

The problem I think, is the way I am approching the solution, or I am missing something important. Any suggestions or help will be greatly appreciated.

Much Thanks!

[TheOneTrueGod]

code:

for decreasing i : 4 .. 0     put largenum div 27 ** i     largenum -= (largenum div 27 ** i) * 27 ** i end for

Yarr, sorry for doing it entirely for you, its generally against my policy to do that, but I couldn't get this one after half a second of looking at it, so I tinkered with it till I got it

I will now attempt to explain where you went wrong.

code:

for decreasing i : 5 .. 1     smallnums (i) := largenum     smallnums (i) := smallnums (i) mod 27 ** power     largenum -= smallnums (i)     power += 1 end for

The above is your code. Lets pick an arbitrary letter to represent what the first number is. I like n, so lets go with that. If we divide the "largenum" by 27**4, the resulting number will be between n * 27**4 and (n+1)*27**4. Therefore, if we truncate that number, we will get what n is. Now, just subtract n * 27**4 from the large number and repeat. One other error you made in yours is "power" started at 1, when it should have started at zero (look at the largenum calculation).

[Klick]

You really are TheOneTrueGod!! I knew i was missing something in it, just couldn't figure it out. Thanks a bunch. This will really help me out alot.

Thanks again!