how can I creat a matrix of all possible combinations of zero and ones across eight digits.

Question

Yonatan Vanunu 2019-12-18

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回答： David Goodmanson 2019-12-20

Hey I am trying to create a matrix of all possible combinations of zeros and ones across eight digits sequence. I know the number of combinations should be 2^8 = 256.

A simple example for all combinations of 3 digit sequence will be

1 0 0

1 1 0

1 1 1

0 1 0

0 1 1

0 0 1

1 0 1

0 0 0

Is there a way to create a matrix for eight digit sequence?

Thanks!

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Ridwan Alam 2019-12-20

Hi Yonatan, does the response below work for you? If yes, please accept as an answer.

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Answer 1

Stephen23 2019-12-18

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>> dec2bin(0:7) % try 0:255
ans =
000
001
010
011
100
101
110
111

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Answer 2

Ridwan Alam 2019-12-18

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decimalVector= [0:1:(2^8)-1]';
binaryMatrix = de2bi(decimalVector);

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Answer 3

David Goodmanson 2019-12-20

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HI Yonatan,

not a black box:

function a = x10(ndigits)
  a = ['0';'1'];
  count = 1;
  while count < ndigits
    n = size(a,1);
    zers = repmat('0',n,1);
    ons  = repmat('1',n,1);
    a = [zers a; ons a];
    count = count+1;
  end
end