Assignment#1 1. Construct a truth table for the following: a) Xyz + x(yz)' + x'(y+z) + (xyz)' b) (x+y)(x+z')(y'+z') 2. Simplify the following functional expression and list the identity used at each srep. a) F(x,y,z) = y(x' + (x+y)') b) F(x,y,z) = x'yz + xz c) F(x,y, z) = (x' +y +z')' + xyz' + yz + xyz 3. Simplify the following function and show its identity , list the identity used at each step. a) z(w+x)' + w'xz+wxyz' + wxyz b) y'(x'z'+xz) + z(x+y)' c) x(yz' + x)(y' + z) 4. prove the following expression xy + x'z+yz=xy + x'z 5. Given the Boolean function, F(x, y, z) = x'y + xyz a) expression for the complement of F. Express in Sum- of - Products form. b) Show that FF'= 0 c) Show that F + F'= 1