Problem-Based Learning (PBL) Scenario for Logic Circuits in Electrical Engineering Title: Real-Time BCD to 7-Segment Display System for an Elevator You have been hired by a company that designs control systems for smart buildings. One of their projects involves modernizing the control panel of an elevator system. The elevator will display floor numbers on a 7-segment display, and the control system provides floor numbers in Binary- Coded Decimal (BCD) format. Your task is to design, simulate, and implement a BCD to 7- segment decoder that works seamlessly in this system. The system requirements are as follows: The elevator control unit sends a 4-bit BCD signal for floor numbers ranging from 0 to 9. The decoder must accurately drive the 7-segment display for each BCD input. The design must be verified using simulations in Multisim and Proteus, with mathematical validation in MATLAB. The system must be robust, ensuring minimal delay between BCD input and display output. Do as required below: 1. Identify the core engineering challenges in designing the BCD to 7-segment decoder for the elevator system. Consider issues like synchronization between input and display, potential signal noise, and compatibility with other elevator control components. Working of 7-Segment Display (LED & LCD) Circuit for all Numbers, assume common cathode LED segment. (4 points) باستخدام احد البرامج الثلاثة صمم الدائرة المطلوبة 2. Explain how logic gates and Boolean algebra are used to decode the BCD input. Derive the Boolean expressions for each segment of the 7-segment display (A-G) based on the provided truth table. Truth Table and Karnaugh Maps Simplification. (4 points) باستخدام جدول الصواب وتبسيط كارنوف 3. Design and simulate the BCD to 7-segment decoder circuit using Multisim or Proteus or MATLAB. Provide a schematic of your circuit, and simulate various BCD inputs to verify that the correct segments are activated. Document the steps and results of your simulation. 7-Segment Display Decoder Circuit (Schematic of BCD to 7-Segment Display Decoder by using logic gates (NAND gates only)). (4 points) قم بتمثيل المعادلات التي حصلت عليها من تبسيط كارنوف ببوابات NAND 4. Validate your simulation results by comparing them with the hardware simulation outputs by using theoretical rules and mathematical equations. (4 points) ما هي المعادلات الرياضية والقواعد النظرية التي استندت عليها لايجاد النتائج؟