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02.11.2008 at 06:41AM PST, ID: 23153054
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Binary matrix for all possible unique results of X(i) variables

Tags: Mathworks, Matlab, R2007B
How to generate a binary matrix for all possible permutations of 'i' variables X, where " i " can be any number between 1 and infinite. I know that the resultant matrix will have 2^ i unique answers, but don't know how to generate it.  Let me explain by example:

variables x1, x2 (i=2) each with a possible value of 1 or 0, so the resultant matrx would be:

X2  X1
0     0
0     1
1     0
1     1

but what if i=120 for example, how do we generate the matrix for x(i) from 1 to 120? There would be 2^ 120 results.

The logic is simple, but I can not seem to translate to code:

x4 x3 x2 x1
0    0   0   0
0    0   0   1
0    0   1   0
0    0  1    1
0   1   0   0
0   1   0    1
0    1  1   0
0   1   1   1
1   0   0   0
1    0   0   1
1    0   1   0
1    0  1    1
1   1   0   0
1   1   0    1
1    1  1   0
1   1   1   1

generate matrix 2^i by i size
start with all x(i) values at 0
get value of x(i)
  if x(i)=1
      increment i
  else set x(i)=1 then start checking values from beginning
if i reaches count of total variables for that row OR leftmost variable is 1 move to next row

or something like above
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Question Stats
Zone: Programming
Question Asked By: Brainstormer
Solution Provided By: cup
Participating Experts: 1
Solution Grade: B
Views: 0
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02.13.2008 at 04:07PM PST, ID: 20889758

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02.18.2008 at 09:02AM PST, ID: 20921528

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02.18.2008 at 11:21AM PST, ID: 20922598

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02.18.2008 at 12:31PM PST, ID: 20923165

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02.18.2008 at 01:27PM PST, ID: 20923611

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