Question: Please help 18. Let x and y represent single-digit binary numbers (0 or 1). The sum, x + y, can be expressed with two binary

Please help

18. Let x and y represent single-digit binary numbers (0 or 1). The sum, x + y, can be expressed with two binary digits: "The Sum" S and "The Carry" C. (a) Create an input/output table for the Boolean functions C and S. Include two input columns (for x and y) and two output columns (for C and S). (b) Find the sum-of-products expansion for C. (c) Draw a circuit with input x and y and output C. You are allowed to use OR gates, AND gates and Inverters. (d) Find the product-of-sums expansion for S. Note "product-of-sums" is not the same as "sum-of-products." (e) Use DeMorgan's laws to simplify one of the products in the expansion of S. (f) Use the simplified Boolean expression for S to draw a circuit with input x and y and output S. You are allowed to use OR gates, AND gates and Inverters. (g) Combine the circuits for C and S into one circuit by "sharing" one of the gates

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