a) Define the Universal Door. b) Which logic gates are universal gates?Problem 2: Apply the universal gate mentioned in Question 1 to other logic gates. (Equivalent circuitsshow)Problem 3: The boolean function F(A, B,C, D) = ∑(0,1,2,3,10) is given. a) A Boolean function that is the sum of the products of the function F using the De Morgan methodSimplify as. b) By using only the NAND gate, the function you obtained using the De Morgan methodshow mec) Show the function obtained using the De Morgan method using only the NOR gate. NOTE:➢ Do not draw the circuits, just write the Boolean formulas.➢ You can use the resources you want, but do not forget to indicate the resources you use.