3. Consider the Boolean expression F(A,B,C) = ABC + A'C' + A'B'.

(a) Using the laws of Boolean algebra, derive an expression that uses only AND and NOT operators.

(b) Using the laws of Boolean algebra, derive an expression that uses only OR and NOT operators.

First, I am sorry for my poor grammar. :'(

I have tried every laws I could find and still couldn't solve it, heres 1 example of what I have done:

ABC + A'C' + A'B'

= ABC + A'C'(B + B') + A'B'(C+C')

= ABC + A'C'B + A'B'C' + A'B'C + A'B'C'

= (ABC + A'BC' ) + (ABC + A'B'C) + (ABC + A'B'C') + (ABC + A'B'C')

= B(AC + A'C') + C(AB + A'B') + (1) + (1)

= B + C + 1 + 1

and a few other tries, but the one above is the best I have got. I dont think any of those are right.

Please help.

thanks