Answer to Question #256070 in Discrete Mathematics for Sara

Question

a) Simplify the following Boolean expression using three variable maps

F(x, y, z) = x y z + x’y’ z + x y’ z’

b)Simplify the following Boolean expression using four variable maps:

F(w,x, y, z) = Σ(0,1,4,5,6,7,8,9)

Answer 1

a)

value of group 1: x'y'z

value of group 2: xyz

$F=x'y'z+xyz$

b)

value of group 1: w'x'y'

value of group 2: w'x

value of group 3: wx'y'

$F=w'x+w'x'y'+wx'y'$