How to design an XOR with these gates?

[jean28]

I need to design an XOR with 2 NANDS, 1 NOR, and 3 inverters. Is it possible? I can't seem to find how to do it now.

 

[MATLABdude]

Consider that the XOR of A and B can be written as:
(A OR B) AND ~(A AND B)

And recall that NOR is ~(OR) and that NAND is ~(AND) (NOT OR and NOT AND)

And that ~(~(A)) is just A

Then you can use up that exact quantity and type of gate!