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Math Help - Finding the fundamental conjuction

  1. #1
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    Finding the fundamental conjuction

    Find the fundamental conjunction made up from the variables w, x, y, z, or their complements, where the value of the conjunction is 1 precisely when:

    w=x=0, y=z=1

    So is this question asking us to find an equation that would equal 1 and at the same time use (in this question) w=x=0 and y=z=1?

    Would notX(y)+ yz work? notx(y)= 1(1) and y(z)= 1(1) 1+1=1
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  2. #2
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    Re: Finding the fundamental conjuction

    you want an expression which is 1 ONLY when w = x = 0, y = z = 1, and for no other possible values of w,x,y,z.

    furthermore, if this is only to be a conjunction terms like yz aren't allowed, so what you want is:

    ~w & ~x & y & z
    Thanks from mizzlizzym
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  3. #3
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    Re: Finding the fundamental conjuction

    Okay I think I understand now. If we had the next example: w=0, x=y=z=1 would this work out?

    w or x or y or z
    w=0, 1 or 1 or 1= 1
    simplifying it would be 0 or 1 equals 1
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  4. #4
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    Re: Finding the fundamental conjuction

    Quote Originally Posted by mizzlizzym View Post
    w or x or y or z
    This disjunction is also true when w = x = y = 0 and z = 1 as well as for many other combinations of truth values.
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