The full subtractor (also subtracter) is a device that accepts three inputs: x, y, and b-in and 1. produces two outputs: b_out and d according to the truth table shown in Table1.2. Table 1.2: The truth table of a full subtractor. x y b_in b_out di 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 11 0 0 0 11 1 1 1 (a) Derive the minimal expressions of both b-out and d. (b) Draw the logic diagram of switching expressions: b_out and d