any one here know Boolean?????

Discussion in 'Homework Help' started by electricdad22, Nov 6, 2009.

  1. electricdad22

    Thread Starter New Member

    Nov 6, 2009
    2
    0
    Simplify the following expression using boolean:

    Z=(WX)+X+Y
     
  2. scythe

    Active Member

    Mar 23, 2009
    49
    5
    Right, you'll notice that the (WX) term is redundant, as X will already have to be true for WX to be true, and X alone is sufficient to make Z true as well.
     
  3. Thav

    Member

    Oct 13, 2009
    82
    0
    EDIT: I was wrong here to say throw away the X term.

    Look at this this way with the (I think) associative property.
    If you have an expression like A(B + C) you can rewrite the equation AB + AC. Similarly you can write A(B+1) = AB + A. If you apply that to your expression, you should be able to see how to simplify.
     
    Last edited: Nov 9, 2009
  4. The Electrician

    AAC Fanatic!

    Oct 9, 2007
    2,281
    326
    Using * to represent the "and" function and + to represent "or", we have:

    (WX)+X+Y = W*X + X*1 + Y = X*(W+1) + Y = X*(1) + Y = X+Y
     
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