Digital Logic and Design CSC 201 Question 1. (Numbering system - 6 Marks): Convert the following decimal numbers into Hex and Octal (Provide step by step answer) (125) 10 ii. (624) ili. (1101001110101) Question 1. (Research Design based case study - 14 Marks) The Perseverance rover successfully landed on Mars surface on February 18, 2021. As a final stage (The rocket-powered descent stage) of landing illustrated in Figure 1, Perseverance cut itself free of the parachute, and ride the rest of the way down using rockets powered by powerful engines. The descent stage levels out and slowed to its final descent speed of about 2.7 kilometers per hour, it initiates the "skycrane maneuver. With about 12 seconds before touchdown, at about 20 meters above the surface, the descent stage lowers the rover on a set of cables about 6.4 meters long. Meanwhile, the rover unstows its mobility system, locking its legs and wheels into landing position. As soon as the rover senses that its wheels have touched the ground, it quickly cuts the cables connecting it to the descent stage. This frees the descent stage to fly away to make its own uncontrolled landing on the surface, a safe distance away from Perseverance. Video demonstration: https://youtu.be/rzmd7RouGIM Reference: https://mars.nasa.govimars2020/timeline landinglentry-descent-landing/ Figure 1. Perseverance Rover's Entry, Descent and Landing Profile (This illustration shows the events that occur in the final minutes of the nearly seven- month journey that NASA's Perseverance rover takes to Mars. Credit: NASA/JPL-Caltech) Make sure apply the following Part 1 (4 Marks) Research on some references to design your method from NASA Mars Program Click here Identify the inputs/ outputs. Apply at least 4 sensors for the inputs as described below and design an output for each phase as illustrated in Figure 2 by numbers inside the box). Inputs should be designed based on sensors that measure the following: Distance Sensor: measure the distance from surface to the Powered Descent Mobility Sensor: at distance of about 22 meters, the mobility deploy signal is activated. Landing Sensor activated when the Powered Descent reached altitude of about 20 meters above Mars surface to start the releasing procedure and initiates the skycrane" maneuver. Touch Down Sensor detect it the rover landed safely and touched the ground and fly away the Powered Descent **11) Figure 2. Power Descent phases! * ntos://www.acadword.comhionandasasmacadama Digital Logic and Design CSC 201 Part 2. (10 Marks) Write the Truth table for the 4 output signals. (2 Marks) . Use the SOP or POS to find the output functions. (1 Mark) Apply K-Map to find the minimum cost of the circuit for each output. (2 Mark) Design four circuits for the required output signals. (2 Marks) Integrate these circuit into one Digital Logic Network Draw the final circuit. (1 mark) Test the circuit using Benchwork software or https://logisdeme (2 Marks)