Engineering Logic Circuit Conversion Homework: NAND-NOR to AND-OR and Back to NAND-NOR

[STEMucator]

Homework Statement

1. Convert the following NAND-NOR circuit to simplest AND-OR circuit (bubbles allowed) such that the output gate is an AND. Then, convert the resulting circuit back into a NAND-NOR circuit (no bubbles) such that the output gate is a NOR.

Homework Equations

The Attempt at a Solution

My solution is drawn in two parts, part a) and b).

For part a) I believe I got the simplest AND-OR circuit possible with an AND gate output.

For part b) I am unsure if the circuit is as simple as possible, but I managed to get a NOR output.

My work is shown below:

Do these look okay?

Thank you.

 

[Svein]

Do these look okay?

Seems OK.

 

[mfb]

Looks right.
For clarification, I would swap the two NOT for A and B in the last diagram (so the upper gate keeps the same meaning as before), but that does not change how the circuit works.

 

[Svein]

For that matter, the upper left combination is an XOR: