How do I create a matrix with all binary combinations?

2020 5 13
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更新时间：2022 12 2
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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 1 0 0 0 0 0 0 0 0
1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0
1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0
1 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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the cyclist
the cyclist 2020-5-13

5 个投票

There's an incredible obfuscated hack for this:
N = 4;
dec2bin(0:2^N-1)' - '0'

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Christian P
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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James Tursa
James Tursa 2020-5-13
编辑：James Tursa 2020-5-13

2 个投票

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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Pranay Agarwal
Pranay Agarwal 2022-12-1
Hi, any similar method is there to extend this code for ternary strings, i.e., to generate all strings containing (0,1,2) of length N
Torsten
Torsten 2022-12-1
Is this a statement or a question ?
the cyclist
the cyclist 2022-12-1
Ran in:
Ran in:
If you have the Statistics and Machine Learning Toolbox, you can use fullfact:
L = 3; % Length
N = 2; % Values in range 0-N
v = (N+1)*ones(1,L);
output = fullfact(v) - 1
output = 27×3
0 0 0 1 0 0 2 0 0 0 1 0 1 1 0 2 1 0 0 2 0 1 2 0 2 2 0 0 0 1
Voss
Voss 2022-12-1
Ran in:
Ran in:
@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 0 0 1 0 0 0 2 0 0 1 0 0 0 1 1 0 0 1 2 0 0 2 0 0 0 2 1 0 0 2 2 0 1 0 0 0 1 0 1 0 1 0 2 0 1 1 0 0 1 1 1 0 1 1 2 0 1 2 0 0 1 2 1 0 1 2 2 0 2 0 0 0 2 0 1 0 2 0 2 0 2 1 0 0 2 1 1 0 2 1 2 0 2 2 0 0 2 2 1 0 2 2 2 1 0 0 0 1 0 0 1 1 0 0 2 1 0 1 0 1 0 1 1 1 0 1 2 1 0 2 0 1 0 2 1 1 0 2 2 1 1 0 0 1 1 0 1 1 1 0 2 1 1 1 0 1 1 1 1 1 1 1 2 1 1 2 0 1 1 2 1 1 1 2 2 1 2 0 0 1 2 0 1 1 2 0 2 1 2 1 0 1 2 1 1 1 2 1 2 1 2 2 0 1 2 2 1 1 2 2 2 2 0 0 0 2 0 0 1 2 0 0 2 2 0 1 0 2 0 1 1 2 0 1 2 2 0 2 0 2 0 2 1 2 0 2 2 2 1 0 0 2 1 0 1 2 1 0 2 2 1 1 0 2 1 1 1 2 1 1 2 2 1 2 0 2 1 2 1 2 1 2 2 2 2 0 0 2 2 0 1 2 2 0 2 2 2 1 0 2 2 1 1 2 2 1 2 2 2 2 0 2 2 2 1 2 2 2 2

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