# Thread: Finding the fundamental conjuction

1. ## 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

2. ## 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

3. ## 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

4. ## Re: Finding the fundamental conjuction

Originally Posted by mizzlizzym
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.