Introduction to Logic

Truth-Tables V

Please fill in the missing truth-values in each of the following truth tables:

1.
 A B ~A ~A B ~B A ~B ~ (A~B) A B T T F F F T T Answer F T F F F T T F F F T T F F T T Answer T F F T F T F T T

2.
 A B ~B A ~B ~(A ~B) A B T F F T T Answer T T F T T F F T F T F T Answer F F F T T F T

3.
 F G H F G ~ H (F G) ~H T T F F 1 Answer T 2 Answer T T T T T 1 Answer T 2 Answer F T F F F T Answer T T F T T 1 Answer F 2 Answer F F T T F F T F F T T 1 Answer F 2 Answer T F F T F F T F F F T T Answer F

4.

 A B ~A ~A B ~B A ~B ~ (A~B) A B T T F F F T T Answer F T F F T T F F Answer F F T T T F F T T F F T T F T T Answer F

5.
 A B ~B A ~B ~(A ~B) A B T T F T T Answer F T F T F F Answer T F T T F T Answer F F F T F T Answer T

6.
 F G H F G ~ H (F G) ~H T T T F F Answer T T T F T T Answer T T F T F T Answer F T F F T T Answer F F T T F F T F T F F T T F F T F T Answer F F F F F T T

7.

 A B ~A ~A B ~B A ~B ~ (A~B) A B T T F F F T T Answer F T F F F T F F Answer T F T T T F F T T F F T F F T T Answer T

8.
 A B ~B A ~B ~(A ~B) A B T T F T T Answer F T F T F F Answer T F T F T F T F F T T F T

9.
 F G H F G ~ H (F G) ~H T T T T F Answer F T T F T T Answer T T F T F T Answer F T F F F T Answer T F T T F F T F T F F T T F F T F F T F F F F T T

10.
 A B ~A ~A B ~B A ~B ~ (A~B) A B T T F F F T T Answer F T F F F T F F Answer T F T T T F T T Answer F F F T F T T T Answer F

11.
 A B ~B A ~B ~(A ~B) A B T T F F T T T F T T F F F T F F T Answer T F F T F T Answer T

12.
 F G H F G ~ H (F G) ~H T T T T F Answer F T T F T T Answer T T F T F F Answer T T F F F T T F T T F F T F T F F T T F F T F F T F F F F T T

13.
 A B ~A ~A B ~B A ~B ~ (A~B) A B T T F F F F T Answer T T F F F T T F Answer F F T T T F F T Answer T F F T F T F T Answer T

14.
 A B ~B A ~B ~(A ~B) A B T T F F T Answer T T F T T F Answer F F T F T T Answer F F F T T T Answer F

15.
 F G H F G ~ H (F G) ~H T T T T F F T T F T T T T F T F F T T F F F T T F T T F F T F T F F T Answer T F F T F F Answer T F F F F T Answer T

16.

 A B ~A ~A B ~B A ~B ~ (A~B) A B T T F F F F T Answer T T F F F T T F Answer F F T T T F F T Answer T F F T F T F T Answer T

17.

 A B ~B A ~B ~(A ~B) A B T T F F T Answer T T F T T F Answer F F T F T F Answer T F F T T F Answer T

18.

 F G H F G ~ H (F G) ~H T T T T F F T T F T T T T F T F F T T F F F T Answer T F T T F F Answer T F T F F T T F F T F F T F F F F T T