I want generate a random number between [a,b] inclusive in python

I should be using random.randint(a,b) but what if I only remembered random.random(), which returns a random float [0,1), can I still get an uniform distribution of random numbers?

my thoughts are

1. round(a + random.random()*(b-a)) I did some test with this…result looks correct, but I am not confident that this is mathematically/statistically correct
2. take the last few bits, something like random.random() & 0b1111(since the resulting float is supposed to be random set of bits, I am taking a page from here)…but I didn’t find a way to convert float to binary or do any bit manipulation on it in python