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ExamsJEE MainMaths

The negation of the Boolean expression ~s∨(~r∧s) is equivalent to:

  1. ~s∧~r
  2. r
  3. s∧r
  4. s∨r

Correct answer: s∧r

Solution

The negation of the expression ~s∨(~r∧s) can be simplified using De Morgan's laws, which state that the negation of a disjunction is the conjunction of the negations. Thus, negating the original expression results in s∧r, indicating that both s and r must be true.

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