please dont use k-maps for simplyfying

ne SN 7400N 7645 . Using Boolean algebra, simplify the following expressions. F, = ABC + (A + B + + ABCD F2 = ABCD + AB (CD) + (ABCD F3 = X7Z + XYZ + WXY + WY +WXY F4 = A + B [C + D(B + 7) Figure 1 7400 NAND DIP a. Build the Truth Table for Fi and F4 functions. b. Draw the circuit diagram for both unsimplified and simplified equations of F2, and F3 c. How many 7404, 7408, and 7432 chips do you need to implement the simplified and unsimplified circuit of F1, F2, F3 and F4