questions in digital

Discussion in 'General Electronics Chat' started by full, May 18, 2014.

  1. full

    Thread Starter Member

    May 3, 2014
    225
    2
    hi
    the exclusive
    a'b+ab'
    =a+b

    ab+a'b'
    =(a+b)'

    True?
    thanks
     
  2. lendo1

    Active Member

    Apr 24, 2010
    34
    0
    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.
     
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