Number Gray code 1 1 1 1 4 1 1 5 1 1 1 1 1 1 3-bit Gray Code Gray codes have a useful property in that consecutive numbers differ in only a single bit position. (a) Design a 3-bit modulo 8 Gray code...

Extracted text: Number Gray code 1 1 1 1 4 1 1 5 1 1 1 1 1 1 3-bit Gray Code Gray codes have a useful property in that consecutive numbers differ in only a single bit position. (a) Design a 3-bit modulo 8 Gray code counter FSM with no inputs and three outputs. (A modulo N counter counts from 0 to N - 1, then repeats. When reset, the output should be 000. On each clock edge, the output should advance to the next Gray code. After reaching 100, it should repeat with 000. (b) Extend your modulo 8 Gray code counter to be an UP/DOWN counter by adding an UP input. If UP = 1, the counter advances to the next number. If UP = the counter retreats to the previous number. 0,