How do I create a matrix with all binary combinations?

Question

Christian P 2020-5-13

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https://ww2.mathworks.cn/matlabcentral/answers/525295-how-do-i-create-a-matrix-with-all-binary-combinations

评论： Pranay Agarwal 2022-12-2

采纳的回答： the cyclist

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Hi

I want to create a matrix with all binary combinations. If N is the length of the binary code, there would be

possible combinations. Below are

, and the 16 possible binary combinations are displayed.

1  1  1  1  1  1  1  0  0  0  0  0  0  0  0 
 
1  1  1  0  0  0  0  1  1  1  1  0  0  0  0 
 
1  0  0  1  1  0  0  1  1  0  0  1  1  0  0 
 
0  1  0  1  0  1  0  1  0  1  0  1  0  1  0

How can I create such a matrix automatically? I don't really care which order they are in, as long as every combination is present, and N is a variable.

Thanks in advance.

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Answer 1

the cyclist 2020-5-13

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There's an incredible obfuscated hack for this:

N = 4;
dec2bin(0:2^N-1)' - '0'

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Christian P 2020-5-13

Thanks to both of you, this worked like a charm! My N is usually less than 10, so memory shouldn't be a big problem :)

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Answer 2

Fangjun Jiang 2020-5-13

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I though it should be

ff2n(4)

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Christian P 2020-5-13

This also worked, thanks :)

Fangjun Jiang 2020-5-14

ff2n, Two-level full-factorial design, is built for this.

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Answer 3

James Tursa 2020-5-13

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编辑：James Tursa 2020-5-13

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dec2bin(0:2^N-1) - '0'

Note that this is only practical for relatively small values of N. Even moderatly large N can cause this to exceed your available memory.

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Voss 2022-12-1

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@Pranay Agarwal: You can use dec2base:

N = 4; % length
base = 3;
output = dec2base(0:base^N-1,base)-'0';
disp(output);
   0     0     0
   0     0     1
   0     0     2
   0     1     0
   0     1     1
   0     1     2
   0     2     0
   0     2     1
   0     2     2
   1     0     0
   1     0     1
   1     0     2
   1     1     0
   1     1     1
   1     1     2
   1     2     0
   1     2     1
   1     2     2
   2     0     0
   2     0     1
   2     0     2
   2     1     0
   2     1     1
   2     1     2
   2     2     0
   2     2     1
   2     2     2
   0     0     0
   0     0     1
   0     0     2
   0     1     0
   0     1     1
   0     1     2
   0     2     0
   0     2     1
   0     2     2
   1     0     0
   1     0     1
   1     0     2
   1     1     0
   1     1     1
   1     1     2
   1     2     0
   1     2     1
   1     2     2
   2     0     0
   2     0     1
   2     0     2
   2     1     0
   2     1     1
   2     1     2
   2     2     0
   2     2     1
   2     2     2
   0     0     0
   0     0     1
   0     0     2
   0     1     0
   0     1     1
   0     1     2
   0     2     0
   0     2     1
   0     2     2
   1     0     0
   1     0     1
   1     0     2
   1     1     0
   1     1     1
   1     1     2
   1     2     0
   1     2     1
   1     2     2
   2     0     0
   2     0     1
   2     0     2
   2     1     0
   2     1     1
   2     1     2
   2     2     0
   2     2     1
   2     2     2

Pranay Agarwal 2022-12-2

Thanks a lot....

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How do I create a matrix with all binary combinations?

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