1.

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)  None of these

Answer»

(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 



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