A synchronous state machine has two inputs (X1 and X2) and two outputs (21 and 22). The inputs represent a 2-bit binary number (N). If the present value of (N) plus the previous value of (N) is greater than (2), then (Z1=1). If the present value of (N) times the previous value of (N) is greater than (2), then (22=1). Otherwise. (Z122=00). When the first pair of inputs is received, use (0) as the previous value of (N). the circuit of the aforementioned state machine includes....... NOT-gates 6 0 O 2 O 10 3 O