This assigment is for digital logic design course, please I want the solution to be clear and organized and with steps

Question 1: Simplify the following functions using Boolean algebra rules: F1 = a. b + + c(a+b) F2 = (x.y+z). (x + ). z F3 = (a + b + c)(a + b + c) + a, b +b.c Question 2: Convert for the following functions to SOP, SOP standard form: F1 = (a + b)(a + b + c) F2 =.b.d + a. b.c + a.b.c F3 = (a + c)(a + d + c)b.c Question3: Simplify the following functions using K-Map: F1 = a. b. + .b.c + a.b. + a.b.c F2 =.b.c.d + .b..d + a. 5.c.d + a.b..d + a. b..d +.b.c.d+a.b.7.d Question: Give the circuit that realize the following functions: F1 = a.b+b.c F2 = (a + b).c