Answer to Question #120780 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

i) Let:

p: "the driver is present"

q: "the driver has buckled up"

r: "the ignition switch is on"

t: "the warning light should turn ON"

Then:

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

ii) Let:

p: "it rains"

q: "you open your umbrella"

r: "you will get wet"

Then:

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