Question

Write the Boolean expression for a logic network that will have a 1 output when X = 1, Y = 0, Z = 0; X = 1, Y = 0, Z = 1; X = 1, Y = 1, Z = 0; and X = 1, Y = 1, Z = 1. 

Answer 1

X = 1, Y = 0, Z = 0 XY’Z’ 

X = 1, Y = 0, Z = 1 XY’Z 

X = 1, Y = 1, Z = 0 XYZ’ 

X = 1, Y = 1, Z = 1 XYZ

The Boolean expression is F = XY’Z’+ XY’Z + XYZ’ + XYZ