Given the boolean function F(x, y, z)=Σ(0, 2, 4, 5, 6). Reduce it using Karnaugh's map.

State the dual form of the following boolean expression:
X.Y'(X.Y'.Z + X + X'.Z')

Explain the following:

1. Canonical sum of product
2. Canonical product of sum

Reduce the following to its simplest form using laws of boolean algebra. At each step clearly state the law used for simplification.
A.B' + A'.B.C' + (A.C') + B.C