Given a certain truth table, there is a unique implementation of it using logic gates. True or False? Briefly explain your answer.

A sequential circuit has one input X and four outputs Z₁ Z₂ Z3 Z4. Z1 Z2 Z3 Z4 represents the gray code encoded number equal to the number of pairs of adjacent 1's that have been received as inputs. Use the gray code that is on page 22 of the textbook. For example, if the circuit had received 7 pairs of 1's as inputs, Z₁ Z2 Z3 Z4 = 1011. In addition, the circuit resets when the circuit receives 5 pairs of 1's. Find a Moore state graph and table for the circuit. Examples Input sequence: Output sequences: X = 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 10 Z₁ = 0 0 0 0 0 0000000000100 Z₂ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 Z3 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 - Z4 = 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 X 11111111 Input sequence: Output sequences: Z₁ = 0 0 0 0 0 100 Z2 0 0 0 0 1 100 = Z3 = 0 0 1 1 1 1 0 0 Z4 0 1 1 0 0 0 0 1 =