1) Construct a truth table for the following two Boolean expressions. Make sure you apply the operators in proper order of precedence. a. A+B+ABC b. XY+ZXY+W+WZ 2) Simplify the following Boolean statements. a. (XY(X+Z)+YZ)(WY)X+Z b. (A+C+D)(AB)(B+D)(A+C)(BD) 3) Given F=xz and G=xy+xz, show each of F,G,FG,FG and F+G to show that FG=F+G to prove that DeMorgan's Law holds for F and G. You must show each of F, G,FG,FG and F+G and simplify each. 4) Prove the following two expressions are equal by a. simplifying both sides to show they are the same b. provide both side's truth tables to show they are the same (a+b)(a+cd)+cd+ab=(a+b+c)+(c+d)+(a+c)(b+d)a