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Math Problem

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The Preacher
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18 years ago
Posts: 218

tldr I was dumb when I was 16


... Last edited by ZinnKid 9 years ago
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18 years ago
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just use the nCr and nPr buttons on a scientific calc.... i forgot which but one of them gives you the number of possible outcomes.

Edit i think it's nCr and just use the number 256x1024


... Last edited by luisalirio84 18 years ago
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The Preacher
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18 years ago
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Sorry, I don't have a Scientific Calculator (or even a simple calculator). I'm doing this all on the computer. And on most calculators on the computer I get Invaled Input For Function, Overflow, or Infinity.


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Switch your computer calculator to Scientific or Graphing function. It should be in the 'View' section.


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The Preacher
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18 years ago
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http://i58.photobucket.com/albums/g268/ZinnKid/error.jpg

I was already on Scientific Mode. The problem with windows calc is that it won't even let me do the problem


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18 years ago
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The problem is that no calculator can raise that power. You can enter it as:

16^256 = (16^64)^4

because 64 x 4 = 256.

So the number you're looking for is: (copied from windows calculator)

1.797693134862315907729305190789e+308

Big number...


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18 years ago
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Well... first of all I'm not so sure about his formula... 16 😕 where'd that come from as for the 64 x4 yup you can do that ... it's quite useful in math...

Scientific Calc http://my.hrw.com/math06_07/nsmedia/tools/Sci_Calculator/Sci_Calculator.html


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The Preacher
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18 years ago
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I got 16 as in hex, for one byte.


Post #21900 - Reply To (#21899) by ZinnKid
Post #21900 - Reply To (#21899) by ZinnKid
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Quote from ZinnKid

I got 16 as in hex, for one byte.

Do you have a graphing calculator with you?

http://archives.math.utk.edu/software/msdos/graphing/ucalc/.html
http://www.download.com/The-Ultimate-Calculator/3000-2053_4-10469312.html

Usually a byte is 8 bits....

Hexadecimal....errr....

Do you have to do this math problem? Is it your homework or something?


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18 years ago
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O.K., This is suppose to be a simple equation.

Base to the power of Length
ex:

Common Combo Lock: 000
Base: 10
Length: 3
So 10 to the power of 3 is 1000
That's 1000 possible number combinations

Now, a 256KB (262144 bytes) file
Base: 16
Length: 262144

So 16 to the power of 262144 is ?

[EDIT] I see a problem in my math sentence. I takes 2 hex to make a byte.
So now it's 256 to the power of 262144 (Sorry)


... Last edited by ZinnKid 18 years ago
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O.....no one is as smart as you math muckamuck.....tell us the answer, oh Great one!


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Post #21907 - Reply To (#21905) by ares6
Post #21907 - Reply To (#21905) by ares6
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The Preacher
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Quote from ares6

O.....no one is as smart as you math muckamuck.....tell us the answer, oh Great one!

Thats just it..... I don't know the answer 🤣

My problem was that I can't find a calc that will give me an answer for 16(Now 256) to the power of 262144

And I know why, the number is long... very, very, long. I posted this here cause I thought somebody had a better calc.

Oh well, the reason I wanted to know is to see if me and my dad could create a program to use "brute force" to replace missing parts of files with only the hash to go by. Aparently this is way beyond the computing power of today.


... Last edited by ZinnKid 18 years ago
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18 years ago
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I've checked most of online calculators - none of them was able to give the result.
Well, even with the result, you probably won't be able to use it on your computer.
Tomorrow I will ask someone from my uniwersity for help but I don't know if they will have time to think about this (lots of exams).


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18 years ago
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that is just too high of a number dude. the simplest form u can get it at without having an answer come out in scientific notation is

4294967296^9

u could always sit down and write it out haha. have you tried making a program that would compute this? a simple visual basic program could just keep going and save it in an array correct?

EDIT- i did it on the graphing calculator. if you do it at once it doesn't come out. BUT i did it in two steps as with:

246^4 which = 4294967296

THEN do

4294967296 ^ 9 which displayed as :

4.973232364E86...i'm gonna try and find out if it is possible to scroll the numbers.


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18 years ago
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this was as far as i could get...

256^262144
=(256^16384)^16 {since 1616384 = 262144 ^^;}*

= (4.0141321820360630391660606060389e+39456)^16

and then the calculator stops working... ^^;

but if you were to multiply that by itself... 16 times...
this number now:
4.0141321820360630391660606060389e+39456

(1)4.0141321820360630391660606060389e+39456
(2)1.611325717485760473619572118452e+78913
(3)6.4680744183019405463588561528246e+118369
(4)2.5963705678310007761265964957269e+157826
(5)1.042217465282166716619404469602e+197283
(6)4.1835986680691986571412489153189e+236739
(7)1.6793518050219779415203529886769e+276196
(8)6.7411401254990734022690651047042e+315652
(9)2.705982752138045535559826185305e+355109
(10)1.0862172449391843852845162482042e+394566
(11)4.3602195995929289688495561513178e+434022
(12)1.7502497815470373043691823754119e+473479
(13)7.0257339747095515166451840082533e+512935
(14)2.8202224850305754165252615014567e+552392
(15)1.132074583766295182738676922143e+591849
(16)4.5442970191613663099961595907971e+631305

sorry that was to keep track of the numbers...

so final answer:
256^262144
=4.5442970191613663099961595907971e+631305

(check that if you'd like, since a phone call sort of disturbed my train of thought)


edit 1: i made a mistake///still checking answer @_@

edit 2: err.... i noticed that the calculator didn't want to paste all the numbers.. which threw the answer off by a lot (?)

edit 3: should be fixed now


edit 4:
i now check my answer for you all =o:
using ln

256^262144 = 4.5442970191613663099961595907971e+631305
ln(256^262144) = ln(4.5442970191613663099961595907971e+631305)

RS: ln(4.5442970191613663099961595907971e+631305)
= 1453634.9960056504255349671779803

LS: ln(256^262144)
= 262144*ln(256)
= 1453634.9960056504255349671779803

LS = RS

QED

=o


... Last edited by lilchoconut 18 years ago
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