Note that "0000" is used to reset stage. It is different from the question on book.

Truth table with 8, 4, -2, -1 code as input and normal BCD code as output is given.

Design a Mealy circuit to convert 8, 4, -2, -1 code to normal BCD code. The input and output should be serial with LSB (Least Significant Bit) first. The input X represents an 8, 4, -2, -1 Code and the output Z represent the corresponding normal BCD code. After 4 time steps the circuit should reset to the starting state regardless of the input sequence. The circuit composed of three D FFs, NAND gates and NOR gates. Any solution which is minimal for your state assignment and uses eight or fewer gates is acceptable (Assign 0000 to the reset stage). (1) Derive a state graph and its corresponding state table with proper stage assignment. Show state assignment map. Inputs 84 -2 -1 Outputs 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1001 1 0 1 0 1011 1 1 0 0 1 1 0 1 1 1 1 0 0100 0011 0010 0001 1000 0111 0110 0101 1001 The 8, 4, -2, -1 code is similar to the normal BCD code, except that the weights are negative for the two LSB positions For example, 0111 in 8, 4,-2 -1 code represents 8 x 0 +4 x 1 + (-2) x 1 + (-1) x1 = 1. (a) Create a truth table with 8, 4, -2, -1 code as input and normal BCD code as output. Input 8 4 -2 -1 0 0 0 0 0 0 0 Output 8 4 2 1 - - 1 1 Design a Mealy circuit to convert 8, 4, -2, -1 code to normal BCD code. The input and output should be serial with LSB (Least Significant Bit) first. The input X represents an 8, 4, -2, -1 Code and the output Z represent the corresponding normal BCD code. After 4 time steps the circuit should reset to the starting state regardless of the input sequence. The circuit composed of three D FFs, NAND gates and NOR gates. Any solution which is minimal for your state assignment and uses eight or fewer gates is acceptable (Assign 0000 to the reset stage). (1) Derive a state graph and its corresponding state table with proper stage assignment. Show state assignment map. Inputs 84 -2 -1 Outputs 8 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1001 1 0 1 0 1011 1 1 0 0 1 1 0 1 1 1 1 0 0100 0011 0010 0001 1000 0111 0110 0101 1001 The 8, 4, -2, -1 code is similar to the normal BCD code, except that the weights are negative for the two LSB positions For example, 0111 in 8, 4,-2 -1 code represents 8 x 0 +4 x 1 + (-2) x 1 + (-1) x1 = 1. (a) Create a truth table with 8, 4, -2, -1 code as input and normal BCD code as output. Input 8 4 -2 -1 0 0 0 0 0 0 0 Output 8 4 2 1 - - 1 1