Answer to Question #235788 in Electrical Engineering for Alock kumar

Question

Simplify the following boolean function, using three variable maps:

F(x, y, z)= Σ(0,1, 2, 3, 7)

Answer 1

The Boolean Function F(x, y, z)= Σ(0,1, 2, 3, 7)) can be expressed as a three-variable map as follows:

 From Group 1, we obtain product term, xy

From Group 2, we obtain product term z

= x ¹y ¹z¹ + x ¹y z¹ + x y¹z + x y z¹

We can illustrate this as captured below:

From this we generate the expression:  x ¹y ^{1 +}z¹