Using De' Morgan's laws write the negation of 4 + 2 = 6 and 4.2 = 8
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4'.2' = 8' and 4'+2' = 6'.
- De Morgan's laws, often known as De Morgan's theorem, are a pair of transformation rules that are both acceptable rules of inference in propositional logic and Boolean algebra. They have the name of the 19th-century British mathematician Augustus De Morgan. The rules permit conjunctions and disjunctions to be expressed solely in terms of one another through negation.
- The following are the rules in English: The negation of a disjunction is the conjunction of the negations and the negation of a conjunction is the disjunction of the negations. Additionally, the complements of the intersection of two sets and the union of their complements are the same, as is the complement of the union of two sets.
Here, according to the given information, we are given that,
4 + 2 = 6
Now,
(4 + 2)'
Or, 4'.2' = 8'
Again, for 4.2 = 8, we have,
(4.2)'
= 4'+2'
= 6'
Hence, 4'.2' = 8' and 4'+2' = 6'.
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