document.write( "Question 957379: Boolean logic is the form of algebra in which all values are needed to either TRUE or FALSE normally through AND,OR and NOT operator.\r
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document.write( "a)How do the number of result change upon using an \"AND\" operator and an \"OR\" operator?EXPLAIN your answer with the help of relevant examples.\r
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document.write( "b)What is the name for the combination logic gate of an \"AND\" operator followed by a \"NOT\" operator?Explain the whole operation and provide the reasons on why do we need this combination. \n" );
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Algebra.Com's Answer #585011 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "If AND is between two sentences, the result will be FALSE\r\n" ); document.write( "unless BOTH the sentence on the left of AND and the sentence\r\n" ); document.write( "on the right of AND are TRUE. That's the only situation\r\n" ); document.write( "that the result will be TRUE. \r\n" ); document.write( "\r\n" ); document.write( "AND is more often FALSE than it is TRUE.\r\n" ); document.write( "\r\n" ); document.write( "AND requires both sides to be TRUE for the result to be TRUE,\r\n" ); document.write( "otherwise it's FALSE.\r\n" ); document.write( "\r\n" ); document.write( "------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "If OR is between two sentences, the result will be TRUE\r\n" ); document.write( "unless BOTH the sentence on the left of AND and the sentence\r\n" ); document.write( "on the right of AND are FALSE. That's the only situation\r\n" ); document.write( "that the result will be FALSE.\r\n" ); document.write( "\r\n" ); document.write( "OR is more often TRUE than it is FALSE.\r\n" ); document.write( "\r\n" ); document.write( "OR requires both sides to be FALSE for the result to be FALSE, \r\n" ); document.write( "otherwise it's TRUE.\r\n" ); document.write( "\r\n" ); document.write( "------------------------------------------\r\n" ); document.write( "\r\n" ); document.write( "Examples:\r\n" ); document.write( "\r\n" ); document.write( "8+1=11 AND 6x2=15\r\n" ); document.write( "\r\n" ); document.write( "That is FALSE because both sides of AND are FALSE\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "2+3=5 AND 5-1=3 \r\n" ); document.write( "\r\n" ); document.write( "That is FALSE because both sides of AND are not TRUE,\r\n" ); document.write( "even though the left side is TRUE, the right side is not,\r\n" ); document.write( "so the result is FALSE.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "2+5=8 AND 6x2=12\r\n" ); document.write( "\r\n" ); document.write( "That is FALSE because both sides of AND are not TRUE,\r\n" ); document.write( "even though the right side is TRUE, the left side is not,\r\n" ); document.write( "so the result is FALSE.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "3+6=9 AND 7-3=4\r\n" ); document.write( "\r\n" ); document.write( "That is TRUE because both sides of AND are TRUE. Both\r\n" ); document.write( "sides of AND being TRUE is the only time the result\r\n" ); document.write( "will be TRUE.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "2+3=5 OR 5-1=3 \r\n" ); document.write( "\r\n" ); document.write( "That is TRUE because both sides of OR are not FALSE,\r\n" ); document.write( "even though the right side is FALSE, the left side is TRUE,\r\n" ); document.write( "so the result is TRUE.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "2+5=8 OR 6x2=12\r\n" ); document.write( "\r\n" ); document.write( "That is TRUE because both sides of AND are not FALSE,\r\n" ); document.write( "even though the left side is FALSE, the right side is TRUE.\r\n" ); document.write( "so the result is TRUE.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "3+6=9 OR 7-3=4\r\n" ); document.write( "\r\n" ); document.write( "That is TRUE because both sides of OR are TRUE.\r\n" ); document.write( "\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "-------------------------------\r\n" ); document.write( "\r\n" ); document.write( "An easy way to think of it is\r\n" ); document.write( "\r\n" ); document.write( "OR needs only ONE side of it to be TRUE in order for the result to be TRUE.\r\n" ); document.write( "\r\n" ); document.write( "but\r\n" ); document.write( "\r\n" ); document.write( "AND needs BOTH sides of it to be TRUE in order for the result to be TRUE.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |