Convert x >= y into 1 or 0 without branching or Boolean expressions

I need to implement the following function without branching or Boolean expressions:

uint8_t func(uint32_t num, uint8_t shl)
{
    if (num >= (1 << shl))
    {
        return shl;
    }
    else
    {
        return 0;
    }
}

The first step I did was to notice that the else part is easy:

return num / (1 << shl);

Of course, doing this in the if part will not necessarily yield the desired result.

So I guess I need something a little more "clever" than num / (1 << shl).

If I could come up with an expression that would give me 1 or 0, then I'm done.

Is there some sort of way to do this using only arithmetic/bitwise operations (i.e., no branching or Boolean expressions)?

Thank you.