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I need help in simplifying this boolean expression

  1. Apr 16, 2013 #1
    Can someone please show me how to simplify this expression? I have no clue of how it's done so any help would be appreciated. Thank you!

    x'y'+xz'+yz+x'yz'+xy'z
     
  2. jcsd
  3. Apr 16, 2013 #2
  4. Apr 16, 2013 #3
  5. Apr 17, 2013 #4

    NascentOxygen

    User Avatar

    Staff: Mentor

    Let's look at simplifying this expression: x'y' + x'yz'

    Take out the common factor: x'(y' + yz')

    Now, suppose y is false, then what's in the brackets evaluates as true.
    Conversely, if y is true, then it's going to be the right-most term that determines the result, and this evaluates as z'

    So, x'y' + x'yz' simplifies to: x'(y' + z')
    Which can be written: x'y' + x'z'

    Carry on simplifying pairs of terms .....
     
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