1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Digital circuit help

  1. Sep 16, 2007 #1

    fsm

    User Avatar

    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.
    cir-1.jpg
    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...