Question

Simplify the Boolean expression (A + B + C)(D + E)’ + (A + B + C)(D + E) and choose the best answer.

(a) A + B + C

(b) D + E

(c) A’B’C’

(d) D’E’

(e) of these

Answer 1

(A+B+C)(D+E)' + (A+B+C)(D+E)

= (A+B+C)((D+E)+(D+E)’) (Distributive Law)

= (A+B+C).(1) (X+X’=1)

= A+B+C

So, simplification of the Boolean expression (A + B + C)(D + E)’ + (A + B + C)(D + E) yields A+B+C