1. Construct a truth table for the following:
◆a) yz + z(xy)′
◆b) x(y′ + z) + xyz
c) (x + y)(x′ + y) (Hint: This is from Example 3.7.)
2. Construct a truth table for the following:
a) xyz + x(yz)′ + x′(y + z) + (xyz)′
b) (x + y′)(x′ + z′)(y′ + z′)
◆3. Using DeMorgan’s Law, write an expression for the complement of F if F(x, y, z) = xy′(x + z).
4. Using DeMorgan’s Law, write an expression for the complement of F if F (x, y, z) = (x′ + y)(x + z)(y′ + z)′.
◆5. Using DeMorgan’s Law, write an expression for the complement of F if F (w, x, y, z) = xz′(x′yz + x) + y(w′z + x′).
6. Using DeMorgan’s Law, write an expression for the complement of F if F (x, y, z) = xz′(xy + xz) + xy′(wz + y).
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