Two Central Detectors - Built Using Universal Gates - Engineering Assignment Help

Assignment Task :

Logic Gates Assessment 

Submit this assignment and the associated saved simulated circuits through Blackboard by midnight Friday of week 10.
The assignment is to be completed individually.

Part 1: 

1. Show how different gates can be built using universal gates (NAND and NOR gates). Draw the logic circuit design below:

• Show how a NOT gate can be built using NAND gate(s)
• ???????Show how a NOT gate can be built using NOR gate(s). 
• ??????Show how a AND gate can be built using NAND gate(s). 
• ???????Show how a AND gate can be built using NOR gate(s).
• ???????Show how a OR gate can be built using NAND gate(s).
• ???????Show how a OR gate can be built using NOR gate(s). 
• Show how a NAND gate can be built using NOR gate(s). 
• Show how a NOR gate can be built using NAND gate(s).

Part 2: 

A factory often needs heavy goods transported from one place to another, along a pre-determined path. The factory manager proposes they design a robot to do this job for them. The prototype robot would be designed to follow a line marked along the factory floor.

The robot will steer itself by powering the left and right wheels independently. Each wheel has the option to operate at full speed or half speed. This means that the control system will have four outputs: left wheel full speed, left wheel half speed, right wheel full speed and right wheel half speed.

The robot will follow the line drawn on the ground by having four detectors in a line along the base of the robot. These detectors can tell if they are positioned above the line or not by shining an LED on the floor and detecting the light that bounces back. When they detect the line they will give a logical output of 1, when they do not detect the line they will give a logical output of 0. These logic system inputs are far left (A), centre left (B), centre right (C) and far right (D).

The line is thick enough that it can sometimes trigger two or even 3 detectors at once.
The control system should operate under the following rules:

1. When no sensors detect a line, the robot should drive forwards at full speed to find the line.

2. When the two central detectors (B and C) detect the line and the two outside detectors do not, the robot is in the middle of the line and should drive straight forwards at full speed.

3. When only one of the centre detectors detects a line, the robot is slightly off centre, so it should correct by keeping one wheel at full speed but dropping the other wheel to half speed (for example, if only the centre left detector detects the line, the robot is slightly too far to the left, so should continue forwards with the left wheel at full speed but the right wheel only at half speed).

4. If only the two detectors on one side detect a line, and the other two detectors do not, then the robot is far off course. It should correct this by stopping one wheel entirely while keeping the other wheel at full speed.

5. If only the outside detector detects the line, the robot is far off course. It should correct this by stopping one wheel entirely while keeping the other wheel at full speed.

6. If the two central detectors and one of the outside detectors detects the line, the robot is slightly off centre, so it should correct by keeping one wheel at full speed but dropping the other wheel to half speed. 

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