{"id":3102,"date":"2025-06-07T10:09:34","date_gmt":"2025-06-07T10:09:34","guid":{"rendered":"https:\/\/diznr.com\/?p=3102"},"modified":"2025-06-07T10:09:34","modified_gmt":"2025-06-07T10:09:34","slug":"day-04-part-04-discrete-mathematics-for-computer-science-negation-operator-proposition-of","status":"publish","type":"post","link":"https:\/\/www.reilsolar.com\/pdf\/day-04-part-04-discrete-mathematics-for-computer-science-negation-operator-proposition-of\/","title":{"rendered":"Day 04 part 04- Discrete mathematics for computer science Negation Operator of Proposition"},"content":{"rendered":"

Day 04 part 04- Discrete mathematics for computer science Negation Operator of Proposition<\/p>\n

[fvplayer id=”253″]<\/p>\n

The Negation Operator (\u00ac)<\/strong> in Propositional Logic<\/strong> is one of the fundamental logical operators in Discrete Mathematics<\/strong>. It is used to reverse the truth value of a given proposition.<\/p>\n

Definition:<\/strong><\/h3>\n

If P<\/strong> is a proposition, then the negation of P<\/strong>, denoted as \u00acP<\/strong>, is a proposition that is true when P is false and false when P is true.<\/p>\n

Truth Table of Negation Operator (\u00acP):<\/strong><\/h3>\n
\n\n\n\n\n\n\n
P<\/th>\n\u00acP<\/th>\n<\/tr>\n<\/thead>\n
T<\/td>\nF<\/td>\n<\/tr>\n
F<\/td>\nT<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Example:<\/strong><\/h3>\n
    \n
  1. \n

    Let P<\/strong> = “It is raining.”<\/p>\n