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## Homework Statement

Build the truth tables for the boolean expressions.

(x + y' * z)' + (x * y * z' + (y + z)') + (y + (x * z')')'

## The Attempt at a Solution

Given that the expression is so complex I believe that I need to simplify first then proceed to build the truth table?

Work so far:

(x + y' * z)' + (x * y * z' + (y + z)') + (y + (x * z')')'

1.) x' * y'' + z' + (x * y * z' + y' + z') + y' * (x * z')''

2.) x' * y + z' + (x * y * z' + y' + z') + y' * x * z'

Steps:

1. De Morgan

2. De Morgan and double negation

Kind of stuck at this point....

Help would be appreciated. Thanks in advance.