QUESTION

Draw a simple logic circuit and explain the logic circuit based on the truth table and conditions given below. Example of a simple logic circuit can be found below.

The Vacuum robot will move up and down the stairs by detecting the immediate surroundings.

Conditions

-From the problem statement, there are two different outputs (Up & Down) moving the stairs

- Let Up represents binary 1 and Down represents binary 0 since there are only two outputs

- Thus, the four different inputs are obstacle, direction, up_max and down_max.

- Obstacle: 1 if the obstacle is in the path, 0 of there is no obstacle in the path.

- Direction: This represents the current direction of movement. 1 for up and 0 for down

- Up_max: This means we have reached top of the stairs. 1 for reached at top 0 for in between the stairs

- Down_max: This input means we have reached the bottom of the stairs. 1 for max down and 0 to in between the stairs

Note: up_max and down_max are mutually exclusive. Hence, in the truth table when both are 1 and 1. Then, we should not care about the output.

Input

Input	Binary	Condition
Obstacle	0	Not in the path
	1	In the path
Direction	0	Going Down
	1	Going Up
Up_max	0	In Between
	1	Reached top
Down_max	0	In Between
	1	Reached down

Truth Table

Obstacle	Direction	Up_max	Down_max	Up_down
0	0	0	0	0
0	0	0	1	1
0	0	1	0	0
0	0	1	1	X
0	1	0	0	1
0	1	0	1	1
0	1	1	0	0
0	1	1	1	X
1	0	0	0	1
1	0	0	1	1
1	0	1	0	0
1	0	1	1	X
1	1	0	0	0
1	1	0	1	1
1	1	1	0	0
1	1	1	1	X

Logic circuit for the system: 0 T 0 D X (0) 0 Truth table for the system given above on output X: P T W X = PT+WT 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1