For the given sequential circuit using triggered T Flip$-$Flops $($FFs$)$:

Draw the behavior of FF states Q$\_(1)$ and Q$\_(2)$ in the following Timing Diagram

using T FF characteristic table.

CLK

Q$\_(1)$

$1$

$0$

Q$\_(2)$

$1$

$0$

Question $2$:

A sequential circuit detects the sequence $11011,$ with overlap. The circuit has a

single input X$,$ representing the serial bit stream, and a single active high output Z$.$

The output Z is equal to $\text{'}1\text{'}$ when a sequence is detected; otherwise, it remains $\text{'}0\text{'}.$

The following is a sample input$/$output pattern:

Input X: $1101101101011011$

Output Z: $0000100100000001$

Draw the Mealy state diagram of this sequential circuit: