how to generate 2^16 different combinations of a vector containing 0 and 1 only?

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Hello all,
I would like to generate 2^16 different combinations of 16 bits containing 0s and 1s. I have tried different ways like using nchoosek,... but I have the out of memory error. Could somebody please propose a more efficient way? Thank you!

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the cyclist
the cyclist 2015-12-9
As a character array:
dec2bin(0:2^15-1)
As a numeric matrix of 1s and 0s:
dec2bin(0:2^15-1) - '0'

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