(Solved): 7. (8 Points) Given the following circuit: a) Without XOR gates, design a 4-Bit Full Adder in SOP ...

7. (8 Points) Given the following circuit: a) Without XOR gates, design a 4-Bit Full Adder in SOP using the 2-Input Full Adder. b) Write the boolean equation for each sum bit in terms of the internal carry bits. c) Write the truth table of the adder, how many logic levels are in the final circuit? d) What is the dependency between the variables? ie; which input variables do S0 and S1 depend on and which input variables do S2 and S3 depend on? e) Where are the gates with a large fan-in? Where are the gates with a small fan-in? f) Along which path is the worst-case, maximum delay lie? What is its value? g) How many 2-Input Gates does the 4-Bit Full Adder use?