11292011, 12:52 PM



Location: BrawndoThirstMutilatorNation
20,888 posts, read 21,709,575 times
Reputation: 18112


No, this is NOT my homework, just felt like posting a brain teaser.
Ok here is a Boolean statement:
X + (X * Y) = X
Simplify the equation to the LEFT of the equals sign so it is
simply "X", SHOW YOUR WORK.
************************************************** *
Here is another Boolean statement:
X * (Y) + Y = X + Y
Simplfy the statement so the equation to the left of the equals sign is reduced to X + Y, SHOW YOUR WORK.

11292011, 02:04 PM



482 posts, read 1,183,649 times
Reputation: 358


Y = 0

11292011, 02:09 PM



3,287 posts, read 8,896,664 times
Reputation: 2354


These are already "solved" on the right side of the equals sign. All you have to do is reverse the sides and you've got the solution.

11292011, 05:52 PM



2,495 posts, read 4,171,997 times
Reputation: 4929


Quote:
Originally Posted by pcity
These are already "solved" on the right side of the equals sign. All you have to do is reverse the sides and you've got the solution.

lol

11292011, 06:06 PM



Location: Las Flores, Orange County, CA
26,342 posts, read 89,982,757 times
Reputation: 17770


Quote:
Originally Posted by tickyul
No, this is NOT my homework, just felt like posting a brain teaser.
Ok here is a Boolean statement:
X + (X * Y) = X
Simplify the equation to the LEFT of the equals sign so it is
simply "X", SHOW YOUR WORK.
************************************************** *
Here is another Boolean statement:
X * (Y) + Y = X + Y
Simplfy the statement so the equation to the left of the equals sign is reduced to X + Y, SHOW YOUR WORK.

X + (X * Y) = X means X or (X and y) so Y is redudent, therefore, only X is required.
X * (Y) + Y = X + Y means (X and not Y) or Y. Not sure how this equals X or Y because it can only be X if it it is also not Y.

11292011, 07:23 PM



Location: BrawndoThirstMutilatorNation
20,888 posts, read 21,709,575 times
Reputation: 18112


Quote:
Originally Posted by pcity
These are already "solved" on the right side of the equals sign. All you have to do is reverse the sides and you've got the solution.

Didn't you read the post???
It is about SIMPLIFYING part of the equation.....NOT SOLVING .

11292011, 09:25 PM



Location: Missouri
4,247 posts, read 3,590,488 times
Reputation: 1924


Quote:
Originally Posted by tickyul
No, this is NOT my homework, just felt like posting a brain teaser.
Ok here is a Boolean statement:
X + (X * Y) = X
Simplify the equation to the LEFT of the equals sign so it is
simply "X", SHOW YOUR WORK.

1) x + (xy) = x
2) x = x + (xy)
************************************************** *
Quote:
Originally Posted by tickyul
Here is another Boolean statement:
X * (Y) + Y = X + Y
Simplfy the statement so the equation to the left of the equals sign is reduced to X + Y, SHOW YOUR WORK.

1) xy + y = x + y
2) x + y = xy + y
Flip things around the equal sign. Simple solution to this simple mind.

12042011, 04:31 PM



Location: BrawndoThirstMutilatorNation
20,888 posts, read 21,709,575 times
Reputation: 18112


Quote:
Originally Posted by geofra
1) x + (xy) = x
2) x = x + (xy)
************************************************** *
1) xy + y = x + y
2) x + y = xy + y
Flip things around the equal sign. Simple solution to this simple mind.

Here is a clue, very useful:

12042011, 10:18 PM



15,921 posts, read 19,282,482 times
Reputation: 7675


Thanks for reminding me why I studied Hot Rod magazine in algebra

12052011, 12:23 AM



Location: Silicon Valley
3,683 posts, read 9,404,658 times
Reputation: 3006


Quote:
Originally Posted by tickyul
X + (X * Y) = X
Simplify the equation to the LEFT of the equals sign so it is
simply "X", SHOW YOUR WORK.

That's not even the correct way to ask the question. The question should be posed: Simplify X + XY.
X + XY
X(1 + Y) by distributive law
X(1) by identity law
X by identity law
Quote:
Here is another Boolean statement:
X * (NOT Y) + Y = X + Y

X(NOT Y) + Y
X(NOT Y) + Y + XY by above
XY + X(NOT Y) + Y by commutative law
X(Y + NOT Y) + Y by distributive law
X(1) + Y by complement law
X + Y by identity law
That's not a brain teaser for anyone past their first ten minutes in a high school level course in digital circuits.

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