The state diagram of a finite state machine (FSM) designed to detect an overlapping sequence of three bits is shown in the figure. The FSM has an input 'In' and an output 'Out'. The initial state of the FSM is S₀.

If the input sequence is 10101101001101, starting with the left-most bit, then the number of times 'Out' will be 1 is __________.

The state transition diagram for a finite state machine with states A, B and C, and binary inputs X, Y and Z, is shown in the figure.

Which one of the following statements is correct?

For the circuit shown in the figure, the delay of the bubbled NAND gate is 2ns and that of the counter is assumed to be zero

If the clock (Clk) frequency is 1 GHz, then the counter behaves as a

The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a