Answer to Question #185594 in Discrete Mathematics for nellie karren

Question

For the Boolean functions F₁ and F₂ below, write down the corresponding

(i) Boolean expression in its disjunctive normal form;

(ii)Using the Karnaugh map method, write down the simple Boolean expression?                                                                     

(iii)Draw the logic circuit corresponding to simple Boolean expression

                      F₂ in (b) if possible 

Answer 1

(i) The Boolean expression in disjunctive normal form is-

$F_1=AB'C'+ABC'+ABC\\ F_2=A'BC+A'BC'+ABC$

(ii) Simple Expression using Karnaugh map are-

For $F_1=AB'C+AB$

For $F_2= A'BC'+BC$

(iii) Logic circuit for $F_2$ is-