It$$s the last week of classes before the finals at UIU and you have so many tasks at hand! Class tests, quizzes, lab tests, assignment submissions, and whatnot! When you have a lot of tasks, the best way to get to them $($without getting overwhelmed!$)$ is based on their order of priority. You thought a specialized alarm system could be quite helpful. You$$ll put in the first letter of the tasks you may have $($given below$)$ as the input and a priority encoder will give a $3$bit output. Here is the list of tasks with their input$-$output labels and priority: Priority Task Input$-$Output $1($highest$)$ Project Submissions P$-0102$ Class Tests C$-0113$ Lab Tests L$-1114$ Quizzes Q$-0015($lowest$)$ Assignment Submissions A$-110$ Now, design a priority encoder that would work as your personal task manager and alarm system for this hectic week. To do it$,$ complete the following steps: A$.$ Derive the truth table of the priority encoder including the valid bit. B$.$ Derive the Boolean expressions for all the outputs. C$.$ Draw the logic diagram using basic gates.It$$s the last week of classes before the finals at UIU and you have so many tasks at hand! Class tests, quizzes, lab tests, assignment submissions, and whatnot! When you have a lot of tasks, the best way to get to them $($without getting overwhelmed!$)$ is based on their order of priority. You thought a specialized alarm system could be quite helpful. You$$ll put in the first letter of the tasks you may have $($given below$)$ as the input and a priority encoder will give a $3$bit output. Here is the list of tasks with their input$-$output labels and priority: Priority Task Input$-$Output $1($highest$)$ Project Submissions P$-0102$ Class Tests C$-0113$ Lab Tests L$-1114$ Quizzes Q$-0015($lowest$)$ Assignment Submissions A$-110$ Now, design a priority encoder that would work as your personal task manager and alarm system for this hectic week. To do it$,$ complete the following steps: A$.$ Derive the truth table of the priority encoder including the valid bit. B$.$ Derive the Boolean expressions for all the outputs. C$.$ Draw the logic diagram using basic gates.