Solved mathematical logic problems to practice reasoning
(1) Mathematical logic problems using truth tables
- 2 A hacker using a scanning program needs to determine four boolean values (values 1 or 0) to bypass a security system. However, he doesn't know which of them should be true and which false. Therefore, this expert has decided to apply the brute force method and enter all possible combinations until finding the correct one. Could you represent in a truth table all the possible combinations?
-Solution-
| A | B | C | D |
| 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 0 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 0 | 0 |
| 1 | 0 | 1 | 1 |
| 1 | 0 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 0 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 0 | 1 | 1 | 0 |
| 0 | 1 | 0 | 1 |
| 0 | 1 | 0 | 0 |
| 0 | 0 | 1 | 1 |
| 0 | 0 | 1 | 0 |
| 0 | 0 | 0 | 1 |
| 0 | 0 | 0 | 0 |