I ended up with the following:

template <bool digit, bool...digits>
int reversed_binary_value()
{
    return digit + (reversed_binary_value<digits...>() << 1);
}

template<>
int reversed_binary_value<true>()
{
    return 1;
}

template<>
int reversed_binary_value<false>()
{
    return 0;
}