4. Carry generate and Carry propagate are defined as follows: Gi-Ai B, P,-A,Bi- a) Show the algebraic expressions for sum (S) and carry-out (C) functions in terms of Gi, Pi and Ci. b) Obtain the algebraic expressions for carries of a 4-bit adder C, C2 Ca, Ca in SOP form in terms of Gi, P and Co. (i-0, 1, 2, 3) 5.Construct the carry look ahead (CLA) generator for the 2-bit CLA adder. The adder operates with two 2-bit unsigned integers A1Ao, B1Band produces 2-bit sum S,So and carry-out C2for overflow detection The carry look ahead (CLA) generator should use Co, carry generates Go, Gi, carry propagates Po, Pi as inputs and implements C and C2 with CLA approach. Giand Pi were defined as shown in Problem 4 a) Show the schematic for the CLA generator implemented with NAND gates. The gates can have any number of inputs. b) Estimate the propagation delay for the 2-bit CLA adder. Assume that G, and P, were implemented with AND2 and XOR2 gates and all gates had a 10 ns delay regardless of the number of inputs Estimate the propagation delay for the 4-bit CLA adder for unsigned integers using the expressions from problem 4 and delay data from problems 5. Assume all gates have the same propagation delay of 10 ns regardless of the number of inputs