Digital Logic Design POS Expression Solutions - Wisdom Lighter

Tuesday, 22 May 2018

Digital Logic Design POS Expression Solutions


Ø Draw a TRUTH TABLE of the following expression?

·        X'Y'Z+ X Y Z+X Y'Z+X Y Z'
X
Y
Z
X'
Y'
Z'
X'Y'Z
X Y Z
X Y' Z
X Y Z'
F
0
0
0
1
1
1
0
0
0
0
0
0
0
1
1
1
0
1
0
0
0
1
0
1
0
1
0
1
0
0
0
0
0
0
1
1
1
0
0
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
1
0
1
0
1
0
0
0
1
0
1
1
1
0
0
0
1
0
0
0
1
1
1
1
1
0
0
0
0
1
0
0
1


















Ø Draw a circuit diagram of the following ?
·        X'Y'Z+ X Y Z+X Y'Z+X Y Z'


POS Circuit Diagram, DLD



Ø Simplify the following expression ?

·        F=A+AB'+A'B'C+A'B'C'D+A'B'C'D'E

v Simplification
F=A+A'(B+B'C+B'C'D+B'C'D'E)
F=A+B+B'C+B'C'D+B'C'D'E
F=A+B+B'(C+C'D+C'D'E)
F=A+B+C+C'D+C'D'E
F=A+B+C+C'(D+D'E)
F=A+B+C+D+D'E
F=A+B+C+D+E



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