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Editorial Team
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Editorial Team
Asked: June 11, 20262026-06-11T04:47:53+00:00 2026-06-11T04:47:53+00:00

I am representing the set of english alphabets as a 26 bit bitstring. The

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I am representing the set of english alphabets as a 26 bit bitstring. The first bit corresponds to ‘a’, the set bit to ‘b’, and so on.
Thus,
The string ab is represented as 11000000000000000000000000
Now, given two bit strings, I want to check if bitstring 1 is a subset of bitstring 2. That is, in all places bitstring 1 has a ‘1’, bit string 2 should also have a ‘1’. This means that all characters in string1 are also present in string2. Can somebody please let me know the best way to do this?
I know a simple way as follows: iterate through bit string1 and check the corresponding bit in bit string2. However, I am wondering if this can be done using some bit wise operator in a more efficient manner

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  1. Editorial Team
    Editorial Team
    2026-06-11T04:47:55+00:00Added an answer on June 11, 2026 at 4:47 am

    If you really are using only 26 bits, you can use an integer (32 bits) to represent the bitset, and use the bitwise AND (&) operator, to get the intersection of the two sets.

    If a & b == a, a is a subset of b

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