Simplify following
Boolean Functions:
Access previous topic for details on Boolean Functions, equivalent truth table and gate level implementation. Examples are discussed next.
Exercise for following boolean functions:
- F = xy + x’y + xy’
- F = x + x’y
- F = (x + y)(x +y’)
- F = xy + x’z + yz
- F = xyz + x’y + xyz’
Answers derived
using Boolean Postulates and Theorems.
Example 1:- F = xy + x’y + xy’
From Theorem T1, = xy + xy + x’y + xy’ = y(x + x’) + x(y + y’)
From Postulate P3 = y + x . (Answer)