Changing the nth bit to x

suggest change

C-style bit-manipulation

// Bit n will be set if x is 1 and cleared if x is 0.
number ^= (-x ^ number) & (1LL << n);

Using std::bitset

set(n,val) - sets bit n to the value val.

std::bitset<5> num(std::string("00100"));
num.set(0,true);  // num is now 00101
num.set(2,false); // num is now 00001

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