The state variable description of an LTI system is given by

where y is the output and u is input. The system is controllable for

The state transition diagram for the logic circuit shown is

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

Consider the given circuit. In this circuit, the race around