simplification

Discussion in 'Homework Help' started by KiranmaiNandagiri, Jan 21, 2015.

  1. KiranmaiNandagiri

    Thread Starter New Member

    Jan 21, 2015
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    Simplification of boolean expression (x+y'+z)(x+y'+z')(x+y+z)
    Can anyone tell me what is the result of simplifying the boolean expression ?
     
  2. wayneh

    Expert

    Sep 9, 2010
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    How is that boolean? Looks like algebra.
     
  3. crutschow

    Expert

    Mar 14, 2008
    12,988
    3,226
    It's Boolean algebra. ;)

    That looks like homework and we don't do your homework for you. You need to show us what you have done or why you are having a problem.

    To simplify the expression you need to multiple the three items in the parentheses together and then simplify from there.
    Do you know how to multiply those items?
     
  4. KiranmaiNandagiri

    Thread Starter New Member

    Jan 21, 2015
    2
    0
    I got struck in last step____________
    X'(z'+yz)
     
  5. tshuck

    Well-Known Member

    Oct 18, 2012
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    As noted,you need to show us your work. Without that, we cannot say why you were struck.

    If you don't know what the result is, how do you know you were struck on the last step, you might have been struck on the second to last step?
     
  6. spinnaker

    AAC Fanatic!

    Oct 29, 2009
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    OK answer this. How is it electronics?
    :)
     
  7. profbuxton

    Member

    Feb 21, 2014
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    Boolean algebra is used to design logic circuits.
     
  8. wayneh

    Expert

    Sep 9, 2010
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    If you say so. I see no boolean operators or indication that the variables shown can only be 0 or 1.
     
  9. profbuxton

    Member

    Feb 21, 2014
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    The poster says it is a boolean problem. From my experience the + sign denotes an "OR" function and the ' denotes a negation( not familiar with that though).
     
  10. WBahn

    Moderator

    Mar 31, 2012
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    There are three Boolean operators use in the expression -- {', +, ()()} for logical NOT, OR, and AND, respectively.

    The indications that the variables in the expression can only take on two values (not necessarily 0 or 1, could be true or false or any other two values) is that it was stated that it was a Boolean expression, which means an expression in which the variables can only take on one of two values.
     
  11. wayneh

    Expert

    Sep 9, 2010
    12,090
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    Fair enough. Just trying to probe for what the OP is really doing. Homework?
     
  12. WBahn

    Moderator

    Mar 31, 2012
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    As others have said, you need to show your work. All of it. Start with the problem and show your steps in sufficient detail so that we can clearly see how you got from one step to the next.

    With three variables you only have a truth table that has eight rows, so you should be able to figure out the truth table directly from the original expression. That may give you some hints as to how to proceed. At the very least it will give you something that you can verify your final answer against.

    Hint: Your truth table should have five 1's and three 0's for the output. Do you see how I got that and why it's the case?
     
  13. WBahn

    Moderator

    Mar 31, 2012
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    Homework? Oh yeah.

    And it should be in Homework Help -- I didn't catch that because I thought I was viewing the HH forum. Amazing that that hasn't been stomped on and brought to the mods attention. I'll go ahead and do that so that they can move it to the appropriate forum.
     
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