Results 1 to 5 of 5

Thread: Simplify X'Y+XY'

  1. #1
    Newbie
    Joined
    Aug 2017
    From
    USA
    Posts
    3

    Simplify X'Y+XY'

    How do you simplify X'Y+XY' boolean algebra expression?
    Last edited by ramses4710; Aug 21st 2017 at 11:11 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    5,683
    Thanks
    2391

    Re: Simplify X'Y+XY'

    assuming that $X,~Y$ are both functions of say $t$

    $\dfrac {d}{dt}( XY )= X^\prime Y + X Y^\prime$

    where

    $X^\prime = \dfrac{dX}{dt}$ and similarly for $Y$
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Aug 2017
    From
    USA
    Posts
    3

    Re: Simplify X'Y+XY'

    How about in boolean algebra?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Nov 2010
    Posts
    2,706
    Thanks
    1033

    Re: Simplify X'Y+XY'

    You are using a nonstandard notation. What is $X'$? Is that the same as "not $X$"? If so, then $X'Y+XY' = X\bigoplus Y = (X+Y)-XY$.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    5,683
    Thanks
    2391

    Re: Simplify X'Y+XY'

    apologies, I missed the boolean algebra part, I just looked at the title.

    Does $X^\prime$ mean $\neg X$ or $!X$, i.e. "not X"?

    If so the expression is already minimal.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simplify
    Posted in the Algebra Forum
    Replies: 8
    Last Post: Feb 6th 2010, 05:21 PM
  2. Simplify
    Posted in the Algebra Forum
    Replies: 9
    Last Post: Jan 29th 2009, 10:04 AM
  3. Simplify (4a^(3/2)) * (2a^1\2))
    Posted in the Algebra Forum
    Replies: 4
    Last Post: Jul 18th 2008, 06:44 PM
  4. How to simplify this
    Posted in the Algebra Forum
    Replies: 1
    Last Post: Jul 9th 2008, 03:18 PM
  5. To simplify or not to simplify...
    Posted in the Algebra Forum
    Replies: 6
    Last Post: Jul 9th 2008, 06:32 AM

/mathhelpforum @mathhelpforum