# Morris Mano Edition 3 Exercise 3 Question 9 (Page No. 111)

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Simplify the following boolean functions in product of sums:

1. F(w,x,y,z) = $\sum(0,2,5,6,7,8,10)$
2. F(A,B,C,D) = $\prod(1,3,5,7,13,15)$
3. F(x,y,z) = $\sum(2,3,6,7)$
4. F(A,B,C,D) = $\prod(0,1,2,3,4,10,11)$

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Simplify the following boolean function using five variable maps. F(A,B,C,D,E) = $\sum (0,1,4,5,16,17,25,21,29)$ F(A,B,C,D,E) = $\sum (0,2,3,4,5,6,7,11,15,16,18,19,23,27,31)$ F= A’B’CE’ + A’B’C’D + B’D’E’ + B’CD’ + CDE’ + BDE’
Simplify the following boolean functions by first finding the essential prime implicants. F(w,x,y,z) = $\sum (0,2,4,5,6,7,8,10.13,15)$ F(A,B,C,D) = $\sum (0,2,3,5,7,8,10,11,14,15)$ F(A,B,C,D) = $\sum (1,3,4,5,10,11,12,13,14,15)$