Given the logic function F(A,B,C,D) = m(1,3,5,12) together with the don't care conditions d(A,B,C,D) = 2d(2,7,8,11,14,15) (i) Write the truth table of the logic function F. (ii) Use the Karnaugh-map method to find the minimized sum-of- products (SOP) expression of the function F. (iii)Implement the minimized function using NAND gates only. (iv) Express the original logic function F in a product-of-sums (POS) form. (v)Use the Karnaugh-map method to minimize the function F in POS form (vi) Implement the function F using a 4-to -16 active low decoder and the necessary number of logic gates