Let a logic converter circuit which will transform a straight Binary Coded Decimal (BCD) digit to an excess-3 BCD digit. The circuit must use four-bit (w, x, y and z) outputs corresponding to each input where the F(a, b, c ,d) = Output.
i) Construct the truth table of the converter circuit using character a , b, c and d (d represents Least Significant Bit) in order to denote the literals input of BCD. Use w, x, y and z (z as Least Significant Bit) in order to represent the output literals of Excess-3 BCD.
ii) Write down the sum of product expression for each output function.
iii) Utilize the K-map to simplify output function of x utilizing the don’t care conditions.