+2 votes
in Computer by kratos

Simplification of the Boolean expression (A + B)’(C + D + E)’ + (A + B)’ yields which of the following results?

(a) A + B)

(b) A’B’

(c) C + D + E

(d) C’D’E’

(e) A’B’C’D’E

1 Answer

+2 votes
by kratos
 
Best answer

(A + B)'(C + D + E)' + (A + B)'=(A+B)’((C+D+E)+1) (Distb. Law)

=(A+B)’.1 (Identity Law)

=(A+B)’ (Identity Law)

=A’B’ (DeMorgan’* Law)

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

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