Although the q column is not really needed, it is helpful in the development of the truth table, particularly if the states are assigned in some order other than numerical (such as in Tables 7.1b and 7.1c). The first half of the design truth table corresponds to the first column of the state table (x 0). The next state is 00 for the first four rows, since each of the states go to state A on a 0 input. The second half of the table corresponds to x 1.