Digital Logic Design Assignment$$Department of Computer Science and Engineering$$Instructions$$ This assignment focuses on real$-$life applications of digital circuits.$$ Solve the problems by designing the circuits, providing diagrams, truth tables, and necessary explanations.$$ You may complete the assignment either in softcopy $($using tools like MS Word, LaTeX, or any circuit design software$)$ or hardcopy $($handwritten$).$ Submission is mandatory via $**$Google Classroom$**.$ If you choose hardcopy, scan or take a clear photo of your work before uploading.$$ Ensure that your submission is neat, legible, and well$-$organized.$$Assignment Questions$1.$ Traffic Light Control System Using DEMUX$$Design a simple $**$Traffic Light Control System$**$ for a four$-$way intersection using a $**1-$to$-4$ DEMUX$**.1.$ Use the DEMUX to control four traffic lights $($one for each road$)$ such that only one light is green at a time while others remain red.$2.$ Draw the truth table showing how the control signals determine the active light. $3.$ Provide a logic diagram for the DEMUX$-$based control system.$2.$ Digital Stopwatch Using a $4-$bit Binary Counter$$Imagine you are designing a basic $**$digital stopwatch$**$ that counts seconds from $0$ to $15$ using a $**4-$bit Binary Counter$**.1.$ Design the counter using $**$T Flip$-$Flops$**,$ showing the state diagram and state table.$2.$ Explain how the counter resets back to $0$ after reaching $15.3.$ Suggest how this design could be extended to count up to $60$ seconds. $13.$ Smart Home Temperature Display Using a $7-$Segment De coder$$You are designing a $**$temperature display system$**$ for a smart home. The system converts the output of a temperature sensor $(0-9$ in binary$)$ into a display on a $**7-$ Segment Display$**.1.$ Create a $7-$segment decoder circuit that converts $4-$bit binary input to control the segments of the display.$2.$ Draw the truth table for the decoder, specifying the on$/$off states of segments $($a to g$)$ for each input.$3.$ Suggest how this circuit could handle a temperature reading greater than $9($e$.$g$.,10-99).$