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. 1. Construct a truth table for the following a) xyz+ yz) - b) x(yz+ Xy) 2. Construct a truth table for the following a) xyz + xyz + xyz 3. Using DeMorgan's Law, write an expression for the complement of x(y z) 4. Using DeMorgan's Law, write an expression for the complement of F if F(x, y. z) - 5. xpression for the complement of F if F(w, x, y, z) = Using DeMorgan's Law, write an e xyz(z+x) + (wyz + x). 6. Use the Boolean identities to prove the Absorption Laws 7. Prove DeMorgan's Laws are valid 8. Is the following distributive law valid or invalid? Prove your answer. x XOR (y AND z)-(x XOR y) AND (xXOR z) 9. Show that x-xy + xy a) Using truth tables b) Using Boolean identities 10. Show that xz-(x +y)(x + y)(a + z) a) Using truth tables