Now let's design a PLA to convert Binary Coded Decimal (BCD) to Gray code. Here is the truth table. Decimal BCD input 83 82 1 2 3 1 Gray Code output D2 81 03 8ононононо P 1 1 e 1 1 1 1 7 119 9 1 1 1 02 De 1 1 1 1 1 1 (a) Derive Boolean expressions for each BCD bits, D0, D1, D2 and D3 (b) Draw Karnaugh maps and obtain the simplified expressions (may want to consider the complement of each of them to pick the best). (c) Draw the PLA diagram.