Problem
Implement the following function using a two-level gate circuit:
F (w, x, y) = wx′ + wy′ + w′
1. Provide the Truth Table.
2. Draw the circuit as per given expression.
3. Simplify the expression using Boolean Algebra if possible.
4. Present the simplified expression in SOP format.
5. Draw the circuit and explain how many gates and what types are required to implement the circuit.
6. Present the simplified expression in terms of minterms.
7. Present the simplified expression in terms of maxterms.
8. Present the simplified expression in POS format.
9. Prove that part (3) and part (2) are logically equal.