Creating a new vector using a transform

I have a vector of integers and I want to convert it to a vector of pairs (pair consists of a bool and a int). My current code is simple like this:

    std::vector<int> a;
    std::vector<std::pair<bool,int> > b;

    a.push_back(1);
    a.push_back(2);
    a.push_back(3);

    for(int i = 0; i < a.size(); ++i)
    {
        b.push_back(std::make_pair(false, a[i]));
    }

Is there any way to do this without writing the loop myself? Probably using some algorithms?