98.0k views
4 votes
Trying to figure out how to make one that's true or decide

Trying to figure out how to make one that's true or decide-example-1
User Kande
by
8.6k points

1 Answer

4 votes

When we have the boolean variables A and B and we want to analyze the disjuction A OR B, this sentence will be true if at least one of the two variables is true.

This way, the truth table is:

A B A OR B

T T T

T F T

F T T

F F F

(The sentence only is false when both variables are false).

In the same way, if we add a third variable C and we want to analyze A OR B OR C, the sentence only is false if all three variables are false.

Also, when constructing a truth table, the normal procedure is switching first the last variable, then going from the right to the left, so the first variable will be switched only one time:

A B C

T T T

T T F

T F T

T F F

F T T

F T F

F F T

F F F

Therefore the correct option is C.

User Tangy
by
7.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories