hi the exclusive a'b+ab' =a+b ab+a'b' =(a+b)' True? thanks
Thread Starter full Joined May 3, 2014 225 May 18, 2014 #1 hi the exclusive a'b+ab' =a+b ab+a'b' =(a+b)' True? thanks
L lendo1 Joined Apr 24, 2010 34 May 18, 2014 #2 Just to be clear: The first statement should be A XOR B, usually represented by a plus sign enclosed in a circle. XOR is not equivalent to OR, which uses the plus sign. Using DeMorgan's theorem, you can reduce (a + b)' to a'b', without the extra term (ab) that you included with a union (OR.) So, both of the statements are false -- unless, of course, you meant to use the XOR symbol on the first one. In that case, only the second if false.
Just to be clear: The first statement should be A XOR B, usually represented by a plus sign enclosed in a circle. XOR is not equivalent to OR, which uses the plus sign. Using DeMorgan's theorem, you can reduce (a + b)' to a'b', without the extra term (ab) that you included with a union (OR.) So, both of the statements are false -- unless, of course, you meant to use the XOR symbol on the first one. In that case, only the second if false.
