Generate 50000 binary sequence of 16 bits long (without repetition) without using "rand(1,16) > 0.5" logic

Can anyone give me some idea on how can I generate 16 digit binary sequence (without repeating any sequence) 50000 times without using "rand(1,16) > 0.5" logic "rand(1,16) > 0.5" logic. For some reason I think that "rand(1,16) > 0.5" logic will give me repetition of the binary sequence.

Answer 1

[Bruno Luong]

c=dec2bin(randperm(2^16,50000)-1,16)
a=c-'0' % if you need binary arrays

[Sagar Dutta]

Eureka! Thanks you so much! Works!