Answer to Question #101437 in Discrete Mathematics for Iroshani Sewwandi

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

i. Let us assume the following statements:

p : Driver is present

q : Driver has buckled up

r : Ignition is ON

s : Warning light turns ON

Then, the formula for the given compound statement becomes:

$(p\land \lnot q \land r)\to s$

ii. Let us assume the following statements :

p : It rains

q : You open your umbrella

r : You get wet

Then, the formula for the given compound statement becomes:

$(p\land\lnot q)\to r$