plz solve 1 - 4

PROBLEM: The carry out, C+1, and the sum, si, of a full adder is given by the logic equations shown below: Cout = Xiyi + Xici + yici Si= xi Oyi Ci Through the application of factoring and multi-level synthesis, the logic equation for carry out can be expressed as: Cout = xiyi + ci(x.+ y) = gi+ cp Signal g=xy, is called the "carry generate signal and signal p=x+y, is called the "carry propagate signal. A 2-bit ripple carry adder (RCA) synthesized according to the factored logic equation for the carry out Cout is shown below: yi XO yo 1 DE 1 1 1 81 P1 80 C2 1 I Full Adder (FA) 1 1 Stage 1 Stage 0 - 81 S0 PRE-LAB 1) Determine the logic equations for each "carry generate" signal gi corresponding to each stage of the 2-bit RCA. Hint: Just make appropriate substitutions for the subscript! It's that simple! 2) Determine the logic equations for each carry propagate signal pi corresponding to each stage of the 2-bit RCA. Hint: Just make appropriate substitutions for the subscript! It's that simple! 3) Determine the logic equations for each carry output" signal Cout corresponding to each stage of the 2-bit RCA. Hint: Just make appropriate substitutions for the subscript! It's that simple! 4) Determine the logic equations for each "sum output" signal scorresponding to each stage of the 2-bit RCA. Hint: Just make appropriate substitutions for the subscript! It's that simple