A bit can be set using the bitwise OR operator (|).
// Bit x will be set
number |= 1LL << x;
set(x) or set(x,true) - sets bit at position x to 1.
std::bitset<5> num(std::string("01100"));
num.set(0); // num is now 01101
num.set(2); // num is still 01101
num.set(4,true); // num is now 11110