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1. Demonstrate by means of truth tables the validity of the following identities: The distributive law: x + y2 = (x+y)(x+2) Z YZ x + YZ x+y X + z (x+y)(x+2) 2. Simplify the following Boolean expressions to a minimum number of literals. (a) (a + b + c)(a'b' + c) (b) a'bc + abc' + abc + a'bc (c) (a' + c)(a + b' + c') 3. Draw the logic diagram for the following Boolean expressions: (a) Y = AB + B/(A' +C) (b) Y-(A+B)(C'+DE)