# Determining cycle time and and hold time in logic circuits

First I have general question. In a circuit with both logic and D edge flip flop does hold time have to satisfy $$t_{hold} < t_{setup}($$D-FF$$) + t_{pd-min}$$(Logic),

or is it enough that $$t_{hold} \le t_{setup}($$D-FF$$) + t_{pd-min}$$(Logic) ?

Also i have a question about a specific circuit:

with the following times:

the question is how much time at least, before and after the fall of the clock does the Input have to be steady? when it is given that $$t_{hold}=8ns$$

Now, from what I know, the input has to be kept steady for at least $$t < t_{pd-min}$$(Logic) +$$t_{setup}$$ time. So I don't understand how $$t_{hold}$$ comes into consideration here. I'll be glad if could explain.

Well if someone is interested I have solved the question myself.

First of all, it indeed is possible that $$t_{hold} = t_{setup} + t_{pd-min}$$.

And about the input time, it has to satisfy: $$t_{hold} \le t_{pd-min}(logic) + t_{input-valid-min}$$

since $$t_{hold} = 8ns$$ and $$t_{pd-min}(Logic) = 10ns$$ , even $$t_{input-valid-min} = 0$$ satisfies this.