1. Show a truth table for the following functions:

1. F = Y Z + X Z
2. G = (X + Y) + (X + Z)(Y + Z)

1. Convert the following Boolean function as sum of minterm.

G (x, y, z) = x y + z + y z

2. Convert the following Boolean function into product of maxterm.

G (x, y, z) = (x + y) (x + z) (y + z)

3. Find the complement of the following expressions:

1. F1= (a + c) (a + b) (a+ b + c)

2. F2 = (A+C) (BC) + (ABC+AC)

4. Convert each of the following to the other canonical form:

(a) F(x, y, z) = m (1, 3, 5, 7)

(b) F (A, B, C, D) = M (3, 5, 8, 11, 13, 15)