Financial Forecasting

Two 6bit register contain two numbers X = 01010 and Y = 10101 (expressed in 2’s complement representation). Calculate the sum (S = X+Y) and the difference (D=XY) of these numbers using additions and 2’s complementation only. Since both S and D have to be represented with 6 bits, indicate if overflow occurs, and explain how a circuit can detect these situations. Convert in decimal and write each intermediate and final result, to check the correctness of your assertions.