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Hw help boolean algebra

  1. May 1, 2012 #1
    Given f(x,y,z)=sum(1,2,3,4)
    draw truth table
    find product of sum exprsn
    find max terms
    find sum of product

    truth table
    x y z out
    0 0 0 0 (x'+y'+z')
    0 0 1 1 x'y'z
    0 1 0 1 x'yz'
    0 1 1 1 x'yz
    1 0 0 1 xy'z'
    1 0 1 0 (x+y'+z)
    1 1 0 0 (x+y+z')
    1 1 1 0 (x+y+z)
    sop=x'y'z +x'yz' +x'yz +xy'z'
    pos=(x'+y'+z')(x+y'+z)(x+y+z')(x+y+z)

    i think this is incorrect and i dont knw how to find the max terms
     
  2. jcsd
  3. May 2, 2012 #2

    NascentOxygen

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    Staff: Mentor

    Hi Fomular! http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif [Broken]

    Can you explain how f(x,y,z)=sum(1,2,3,4) leads to your truth table? I'm intrigued and I hope to learn something here. :smile:
     
    Last edited by a moderator: May 6, 2017
  4. May 4, 2012 #3

    LCKurtz

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    Science Advisor
    Homework Helper
    Gold Member

    When the binary number xyz evaluates to 1,2,3, or 4, in base ten, output 1 otherwise output zero.
     
    Last edited by a moderator: May 6, 2017
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