ANSWER ALL PLZ URGENT

PROBLEM I ( PTS) a) Simplify the following functions using ONLY Boolean Algebra Theorems. For each resulting simplified function, sketch the logic circuit using AND, OR, XOR, and NOT gates. (14 pts) =xyz+y(x+z)F=(B+A)(C+B)(C+A)+CAF=A(BC)+BF(X,Y,Z)=(M1,M3,M6,M7) b) Given the following circuit with inputs x0,x1,y0,y1,c0 : (16 - Provide the Boolean expression (based on the circuit inputs) for s0,s1,c1,c2. (7 pts) - For s0 and c1 : (9 pts) Express the Boolean functions using both the minterms and maxterms representations. (4 pts) Provide the Boolean functions using the Canonical Sum of Products (SOP), and Product of Sums c (POS). Sketch the logic circuits as Canonical Sum of Products and Product of Sums. (3 pts) PROBLEM 2 (24 PTS) a) Complete the truth table describing the output of the following circuit and write the simplified Boolean equation (6 pts). f= b) Complete the timing diagram of the logic circuit whose VHDL description is shown below: (5 pts)