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Digital circuit help

  1. Sep 16, 2007 #1

    fsm

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    1. The problem statement, all variables and given/known data
    1. Derive the truth table for the circuit.
    2. Derive the Boolean function directly from the circuit.
    [​IMG]
    I can't the function to agree with the truth table. I don't know what I'm doing wrong. I somewhat positive my truth table is right, but I think my function statement is wrong.
    2. Relevant equations
    None that I know of.


    3. The attempt at a solution
    1. Rather than show a huge truth table I'll list the sum of products-[tex]\sum[/tex](2,6,10,11,12,13,14,15)
    2. F=((w(x+y)')(y'+z))'
    =(w(x+y)')'(y'+z)'
    =(w(x+y))(y'+z)'
    =(wx+wy)+y+z'
    =wxy'z'+wxyz+wx'yz'+wxyz+w'x'yz'+wxyz+w'x'y'z'+wxyz'
    =wxy'z'+wxyz+w'x'yz'+wx'yz'+wxyz'
     
    Last edited: Sep 16, 2007
  2. jcsd
  3. Sep 16, 2007 #2
    Do you know how to do a Karnaugh map? If you can write the truth table for this, that is the easiest way to go about this problem.
     
  4. Sep 16, 2007 #3

    fsm

    User Avatar

    Yes I can. I'll try that.
     
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