Math Is Fun Forum

adi64

Guest

3 numbers algorithm

I have some dificult problem i try to solve out.
and it goes like this.

I have 3 numbers:

64 230 4 = 60
129 230 4 = 61
194 230 4 = 62

69 1 108 = 1500
134 1 108 = 1501
199 1 108 = 1502

14 185 34 = 0797
79 185 34 = 0798
128 186 34 = 0799

79 186 98 = 1798
128 187 98 = 1799

Now the 1st number can be from 0 to 16, 64 to 79,128 to 143,192 to 207.
the 2nd number can be from 0 to 255
and the 3rd number can be from 0 to 127.

All this are binary operation inside a cpu. I cannot figure out how it is calculated.
If someone finds a pattern please let me know. Thanks!

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: 3 numbers algorithm

I have 3 numbers:

64 230 4 = 60
129 230 4 = 61
194 230 4 = 62

69 1 108 = 1500
134 1 108 = 1501
199 1 108 = 1502

14 185 34 = 0797
79 185 34 = 0798
128 186 34 = 0799

79 186 98 = 1798
128 187 98 = 1799

That certainly looks like a lot more than 3 numbers to me.  What do you mean you have 3 numbers?

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: 3 numbers algorithm

Does he perhaps mean that given the 3 numbers in the valid ranges, there are 2 binary operations being performed that gives the result on the right?

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The Beginning Of All Things To End.
The End Of All Things To Come.

Ricky

Moderator

Registered: 2005-12-04

Posts: 3,791

Re: 3 numbers algorithm

Ok, so the spaces indicate an operation.  Now is it all one single operation, or can the two be different?  If they can be different, can they be used in a different order?

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"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

adi64

Guest

Re: 3 numbers algorithm

Hallo, thanks for reply.
So i writed more exemples thats why its more than 3 numbers.
64 230 4 = 60 so 1st number is 62, 2nd number is 230 and 3rd number is 4. I know that 1st number can only be from:
0 to 16, 64 to 79,128 to 143,192 to 207, the 2nd number can be from 0 to 255, and the 3rd number can be from 0 to 127. Now tru some operation this 3 numbers must result in 60.

I found that:
129 230 4 = 61 so if 1st munber rise by 65 the result rise by 1
i also finded out that if the first number+65 equals 16, 79,143,207 then the 2nd number rises by 1 and the result rises by 1.

@ricky I dont know how many operations are made, or in what order but i think 1st number is the less semnificative bit, whyle the 3rd number its the most semnificative bit. Also i want to mention that if i write the numbers by chance i get some crc error .

@luca-deltodesco yes there are some binary operations but i dont know how many.

If you need more examples i can provide them.
I tryed everything i know in binary operations but i cant find a patern here, thats why i turned to math forum, maybe someone sees a patern.
thanks!

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,711

Re: 3 numbers algorithm

Now the 1st number can be from 0 to 16, 64 to 79,128 to 143,192 to 207

It may be better to think of the first number as 2 numbers, because each range (except the first??) is 16. And each range starts at a multiple of 64.

Examples:
15 => 0*64 + 15
65 => 1*64 + 1
207 => 3*64 + 15

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

adi64

Guest

Re: 3 numbers algorithm

Hi, ok i understand. Now i just found the 00 result.
so
64 192 12 = 0
129 192 12 = 1
194 192 12 = 2
if i follow the pattern here
194 + 55 = 259  but it exceeds the max value it can be(207), what could be the 3 result??

And i am sorry i made a mistake:
Now the 1st number can be from 0 to 15, 64 to 79,128 to 143,192 to 207 (so hex 00 to 0F, 04 to 4F, 80 to 8F, C0 to CF)

adi64

Guest

Re: 3 numbers algorithm

Sorry again i made a mistake.

194 + 55 = 259  but it exceeds the max value it can be(207), what could be the 3 result??

that is:
194 + 65 = 259  but it exceeds the max value it can be(207), what could be the 3 result??

adi64

Guest

Re: 3 numbers algorithm

64    192    12    =0
129    192    12    =1
194    192    12    =2
3    192    13    =3
68    192    13    =4
133    192    13    =5
198    192    13    =6
7    192    14    =7
72    192    14    =8
137    192    14    =9

64    230    4    =60
129    230    4    =61
194    230    4    =62
3    230    5    =63
68    230    5    =64
133    230    5    =65
198    230    5    =66
7    230    6    =67
72    230    6    =68
137    230    6    =69

i managed to find the 0 to 9 , or from 60 to 69 combination but following this patern i couldnt calculate the 10 or 70, or 59. Can anyone see something i dont see
Thanks.