logic gate with theory of De Morgan

Augustus De Morgan

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

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

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

d). (A+B/)/ = A/. B// = A/. B

e). ((AB)/)/ = A// + B// = A + B

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

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/