This question was previously asked in

ISRO Scientist EC 2016 Official Paper

Option 1 : z’ + xy’

CT 3: Building Materials

2962

10 Questions
20 Marks
12 Mins

Sum of product:

F(x, y, z) = x̅ y̅ z̅ + x̅ y z̅ + x y̅ z̅ + x y̅ z + x y z̅

x̅ z̅ + x y̅ + x y z̅

x̅ z̅ + x(y z̅ + y̅)

Using distributive law

= x̅ z̅ + x(y + y̅) (y̅ + z̅)

Using distributive law again:

= x̅ z̅ + x y̅ + x z̅

= z̅ + xy̅