Problem #2

Car Detector Circuit: You will design a device with a 3-bit input F2, F1, F0 and a one-bit output C. Input F[2:0] comes from a Ferrous Metal Detector that sends a three-bit unsigned magnitude binary number that represents the amount of Ferrous Metal Detected above a sensor impended in a concrete slab. The goal of your device is to determine if enough Ferrous Metal is sensed to indicate that a car is present. The output of your device CarDetected (C) should be asserted if (and only if) the current value of the input F is five or greater.

(a) [3 pts.] Construct a Truth Table that realizes the solution to the design problem stated above

(b) [3 pts.] Construct minimized SOP equation(s) from your truth-table that fully describes the functionality of your solution.

(c) [3 pts.] Provide a logic diagram that implements your solution to the design problem.