What are the associative, distributive, and commutative properties of complement with respect to + and * in boolean logic? Your textbook has a table somewhere.
You know that A+A' = 1 and A*A'=0 for both states of A, start applying these identities to those equations.
The first simplification on this one is that
A'CD' + ACD' = CD'
and the second simplification is that
( C + D)' + CD' = D'
So we are left with
D' + AB'C' + A'B'CD
let me try.
just implement as usual using NOT,AND and OR gate.
adding NOT before AND will give you NOR and NOT after OR will give you NOR.
Giving the same input to both terminals of NOR would invert the function (i.e) would act as NOT as (x+x)' = x'.
I think 4 NOR gates would be required in this case