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Old 11-29-2011, 12:52 PM
 
Location: Brawndo-Thirst-Mutilator-Nation
20,888 posts, read 21,709,575 times
Reputation: 18112

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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.
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Old 11-29-2011, 02:04 PM
 
482 posts, read 1,183,649 times
Reputation: 358
Y = 0
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Old 11-29-2011, 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.
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Old 11-29-2011, 05:52 PM
 
2,495 posts, read 4,171,997 times
Reputation: 4929
Quote:
Originally Posted by pcity View Post
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
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Old 11-29-2011, 06:06 PM
 
Location: Las Flores, Orange County, CA
26,342 posts, read 89,982,757 times
Reputation: 17770
Quote:
Originally Posted by tickyul View Post
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.
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Old 11-29-2011, 07:23 PM
 
Location: Brawndo-Thirst-Mutilator-Nation
20,888 posts, read 21,709,575 times
Reputation: 18112
Quote:
Originally Posted by pcity View Post
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.
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Old 11-29-2011, 09:25 PM
 
Location: Missouri
4,247 posts, read 3,590,488 times
Reputation: 1924
Quote:
Originally Posted by tickyul View Post
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 View Post
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.
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Old 12-04-2011, 04:31 PM
 
Location: Brawndo-Thirst-Mutilator-Nation
20,888 posts, read 21,709,575 times
Reputation: 18112
Quote:
Originally Posted by geofra View Post
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:



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Old 12-04-2011, 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
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Old 12-05-2011, 12:23 AM
 
Location: Silicon Valley
3,683 posts, read 9,404,658 times
Reputation: 3006
Quote:
Originally Posted by tickyul View Post
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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