Answer to Question #232166 in Electrical Engineering for Alock kumar

Question

Simplify the following boolean expression, using three-variable maps:

F(x, y, z) = xyz + x'y'z + xy'z'

Answer 1

 yz   yz'  y'z'  y'z
x  1    1    1     1
x' 1         1     1

The goal is to group the adjacent units and simplifying using the distributive law since y+y' would equal one. This is all good, but when it comes to the above Karnaugh map, which one do I group together? The textbook says, it should be the biggest block but I am a bit confused in terms of what that means.

The final answer after simplification would yield:

x + y' + z