Q1) Consider a logic converter circuit that will convert a straight Binary Coded Decimal (BCD) digit to an excess-3 BCD digit. The circuit should use four-bit (w, x, y and z) outputs corresponding to each input where F(a, b, c ,d) = Output.

(i) Construct the truth table of the converter circuit using character a , b, c and d (d represents the Least Significant Bit) to denote the literals input of BCD. Use w, x, y and z (z as Least Significant Bit) to represent the output literals of Excess-3 BCD.

(ii) Write the sum of product expression for each output function.

(iii) Use K-map to simplify the output function of x using don't care conditions.

(iv) Draw the resulting logic circuit diagram in part (iii).