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Editorial Team
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Editorial Team
Asked: May 20, 20262026-05-20T20:57:42+00:00 2026-05-20T20:57:42+00:00

I have 5 bits and so 32 different combinations (of them). Starting from 00000

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I have 5 bits and so 32 different combinations (of them).

Starting from

00000

and ending with

11111

Is there some way of quickly listing all possibilities? I could do it by hand, but I worry that I might miss one. I’m guessing some clever chap has written some algorithm and/or made a website, that can do this very easily. At least I hope so.

Thanks a lot.

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  1. Editorial Team
    Editorial Team
    2026-05-20T20:57:42+00:00Added an answer on May 20, 2026 at 8:57 pm

    In Ruby:

    0b0000.upto(0b1111) {|n| puts n.to_s(2).rjust(4,"0")}
    
    0000
    0001
    0010
    0011
    0100
    0101
    0110
    0111
    1000
    1001
    1010
    1011
    1100
    1101
    1110
    1111
    
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