Transistor count

Question

I'm completely stumped on where to start with this, any point in the right direction would help. The work gave me a circuit drawn out and asks 2 questions:

1)Determine the number of transistors required to build the Canonical expression 2)Determine the number of transistors required to build the minimal SOP expression

I don't know where to start and have read what I could, I just need some help starting and understanding how to work this out. I can show the circuit if necessary. There's a circuit showing input x at logic 0 (0 Volts) and output f at logic 1 (4.999 Volts) and all the other details like nMOS, pMOS, VDD, off, on, etc. What do I usually need to learn to understand how to find the number of transistors? Sorry for a dumb question because I know how simple this possibly could be.

EDIT:

Here's one of the pictures:

Answer 1

I am not familiar with the SOP and canonical terms since I did not study electronics in English, but this seems about Boole logic stuff.

May I suggest you took a look there : http://sce.umkc.edu/~hieberm/281_new/lectures/forms-of-bool-expressions/forms-of-exprs.html and there : How to convert an expression from SOP to POS and back in Boolean Algebra? for example, because I would have trouble explaining all of this to you in English.

Then the logic gate in your picture is basically an inverter (a.k.a. "not" gate, see here http://en.wikipedia.org/wiki/Logic_gate). As the name more or less indicates you get at the ouptut the logic level "inverse" (exact term?) of your input (e.g. apparently TTL, +5V out for 0V in, in your case).

This looks a lot like homework, and I'm not yet familiar with the rules about that here, yet I'd rather you look a little more into it first. I'll be glad to help you then (with some reasoning to confirm or more specific questions ?).