Answer to Question #185574 in Discrete Mathematics for nellie karren

Question

For the following Boolean functions, give a tabular representation of their Boolean expressions:

(i)                  F x y z( , , ) =[x y z  ]  

(ii)                F x y z( , , ) =[x z y z  ] [ ]

What can you say about (i) and (ii) above?   

Answer 1

Given,

(i) $F(x,y,z)=xy+z$

Tha tabular representation is-

The given expression is the combination of "AND" and "OR" gate.

(ii) $F(x,y,z)=xz+yz$

The tabular representation is-

The given expression is the combination of "OR" and " AND" gate.