Answer to Question #102501 in Discrete Mathematics for Roshanthi

Question

1. Discuss two real world binary problems in two different fields using applications of Boolean Algebra

Answer 1

Problem 1: In industries using three-way valves to direct the flow of water or gas in one direction or another. These valves have a two position actuator (left and right), delimited by a limit switch. Limit switches activate their output with a 1 when is activated.

A common problem is that the two limit switches can never be activated at the same time, therefore, in the programming logic of these devices, they are made to enter an XOR which does not allow output 1 for input 11. So, the problem is resolved.

Problem 2: In the control of traffic, truth tables can be used to create Boolean logic circuits (which will be programmed) that allow to control the different input conditions (the roads), estimating the outputs (traffic lights) to keep controlled the system.