Virtual University of Pakistan| Virtual Gurus| Vu Gurus

Question 1:                                                     [marks: 10]



Simplify the following Boolean expressions, using Boolean Algebraic rules:



 ABC' + A'BC + ABC + A'BC'

= BC' (A+A')+BC' (A+A') //*Because A+A'=1

So,
=BC'AB'+BC'CD'+A'DAB'+A'DCD'

=C'ABB'+BD'C'C+DB'AA'+A'CDD'

BY RULE A.A'=0

SO

BB'=0, CC'=0 , AA'=0 AND DD'=0

Answer =0





Question 2:                                                      [marks: 10]

Simplify the following Boolean functions, using Karnuagh maps:


 F(A,B,C,D) = ∑ (3,7,11,13,14,15)



 Solution:

Since the function has four variables so,a four variable map must be used.The minterms listed in the sum are marked by 1’s in the map.