volume_mute
Some Tautological Equivalences
publish date: 2022/08/19 01:30:00 GMT+10
volume_muteAssign the right properties to the rows
| A ∨ B ⇔ B ∨ A | A ∧ B ⇔ B ∧ A | (1)  |
| (A ∨ B) ∨ C ⇔ A ∨ (B ∨ C) | (A ∧ B) ∧ C ⇔ A ∧ (B ∧ C) | (2) |
| A ∨ (B ∧ C) ⇔ (A ∨ B) ∧ (A ∨ C) | A ∧ (B ∨ C) ⇔ (A ∧ B) ∨ (A ∧ C) | (3) |
| A ∨ 0 ⇔ A | A ∧ 1 ⇔ A | (4) |
| A ∨ A' ⇔ 1 | A ∧ A' ⇔ 0 | (5) |
Please drag and drop the selected option in the right place or type it instead
associative
commutative
distributive
complement
identity
Correct Answer
(1) commutative
(2) associative
(3) distributive
(4) identity
(5) complement
Reference
Mathematical Structures for Computer Science, Discrete Mathematics and its Applications, seventh edition