Simplify Logic Equation using De Morgan's Theorems

These are some examples of simplify logic equations using De Morgan's theorems :

a.  (A/.B.C/)/                  = A// + B/ + C//
                                       = A + B/ + C

b.  (A/+B/.C)/                 = A//.B// + C/
                                       = A.B + C

c.  (A.B(C/.D/))/            = A/ + B/ + C// + D//
                                       = A/ + B/ + C + D

d.  (A + B/)/                    = A/.B//
                                       = A/.B

e.  (A/.B/)/                      = A// + B//
                                       = A + B

f.  (A/ + C/ + D/)/          = A//.C//.D//
                                       = A.C.D

g.  (A.(B + C/)/.D)/         = A/ + (B//.C///) + D/
                                        = A/ + (B.C/) + D/

h.  ((M + N/)(M/+N))/    = (M/.N//) + (M//.N/)
                                        = (M/.N) + (M.N/)

i.  (((A.B)/.C)/.D)/  = A/// + B/// + C//+ D/
                                = A/ + B/ + C + D/





May i hope this post can help us to simplify logic equations using De Morgan's theorems....


Thank You..... :)