Digital electronics design
The first sentence of the question is struck out but it tells you that you're looking for 74HX series chips. All of them should be standard but the rightmost one is unusual. Let's draw the logic table for it.

Table 1. Truth table for the rightmost logic gate.

X  Y  Z
=  =  =
0  0  1
1  0  1
0  1  1
1  1  0


Now this should look very familiar as one of the standard logic gates. Can you see which one?

Once you have that then mark your diagram with the chip number(s) you have chosen, look up the pinout, mark them up and post your solution into your question for review.

I think you will find that they have snuck an extra lesson into this exercise for you.