Answer to Question #102500 in Discrete Mathematics for Roshanthi

Question

1. Develop truth tables and its corresponding Boolean equation for the following scenarios.
i. ''If the driver is present AND the driver has NOT buckled up AND the ignition switch is on, then the warning light should turn ON.''
ii. If it rains and you don't open your umbrella, then you will get wet.

Answer 1

1)

Let,

The Boolean expression for this application can be written as

If the driver is present = D

the driver has NOT buckled = B'

the ignition switch is on = I

warning light should turn ON = W

D.B'.I ->W

2)

Let,

rains = R

umbrella Open = U

Wet = W;

R.U' ->W