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Truth Tables |
A STATEMENT is a sentence that is either true or false.
Some of you noticed that in the Pizza Test you recently took,
you used set notation and diagrams in a new way.
The letters A B C no longer represented lists of objects,
like letters and numerals,
but instead A B C represented simple statements:
A = You ordered a pizza with Anchovies.
B = You ordered a pizza with Beef.
C = You ordered a pizza with Chicken.
SIMPLE STATEMENTS contain NO IFs ANDs BUTs OR MAYBEs
A = Anne passed finite math.
B = Bill passed finite math.
A = The Eagles won the Superbowl.
B = The Patriots won the Superbowl.
A = I made an A in finite math.
B = I made a B in finite math.
COMPOUND STATEMENTS contain NOTs IFs ANDs ORs BUTs
-A = You did not order an anchovy pizza.
B->-C = If you ordered beef, you did not want chicken.
A+B-(A&B) = You ordered an anchovy or beef pizza, but not both together.
A&B-C = You ordered a pizza with anchovies and beef, but no chicken.
In this assignment, you will learn to convert your pizza order statements
from circle diagrams into tables.
These tables we will call TRUTH TABLES.
Here is an example:
_____________________________
A B C | A & B & —C
_____________________________
|
0) 0 0 0 | 0
1) 0 0 1 | 0
2) 0 1 0 | 0
3) 0 1 1 | 0
4) 1 0 0 | 0
5) 1 0 1 | 0
6) 1 1 0 | 1
7) 1 1 1 | 0
_____________________________
The left columns of the Truth Table represent the simple statements A B C .
The 1's and 0's represent all the possible arrangements of True and False
for each combination of simple statements.
The right columns of the Truth Table represent the compound statement.
The 1's and 0's on the right indicate which rows on the left are True or False.
Notice that the compound statement is True (1) on row 6
when A and B are true and C is false.
Row 6 corresponds to region 6 in the circle diagram: A and B less C.
1) COMPOUND STATEMENT WITH 1 STATEMENT
You ordered a pizza without anchovies.
It is false that Anne passed finite.
The Eagles lost the Superbowl.
I did not make an A in finite.
A | NOT A
_________
0) 0 | 1
1) 1 | 0
_________
2) COMPOUND STATEMENT COMBINING 2 STATEMENTS
You ordered an anchovy or beef pizza. The Eagles won or the Patriots won.
Anne or Bill passed finite math. I either made an A in finite or a B.
INCLUSIVE OR EXCLUSIVE OR
A B | OR A B | XOR
_________ _________
0) 0 0 | 0 0 0 | 0
1) 0 1 | 1 0 1 | 1
2) 1 0 | 1 1 0 | 1
3) 1 1 | 1 1 1 | 0
_________ _________
3) COMPOUND STATEMENT COMBINING 3 STATEMENTS
You ordered a pizza with anchovies, beef, and chicken.
You ordered an anchovy, beef, and chicken pizza.
Anne, Bill, and Carl all passed finite math.
Prisoners A, B, and C were all marked with green X's.
A B C | AND
___________
0) 0 0 0 | 0
1) 0 0 1 | 0
2) 0 1 0 | 0
3) 0 1 1 | 0
4) 1 0 0 | 0
5) 1 0 1 | 0
6) 1 1 0 | 0
7) 1 1 1 | 1
___________
ASSIGNMENT:
Study the examples above.
Convert the circle diagram you made for the Pizza Order Test into a Truth Table.
Post it below as a Comment on this page for all to see.
Use the table techniques you have previously learned to make your table.
You do not need to reattach your diagram, but insert it in a comment on this page.
Use this form to insert your diagram: files/Pix/myAlias-pizzatest.gif
Follow my example below.
Use the same compound statement you used in your Pizza Order Test problem.
You earn 3 points for this assignment:
1 for table, 1 for notation, 1 for truth column.
Hilite, Copy, and Paste this blank table to your comment.
It should speed things up a bit.
| A | B | C | ||
| 0 | 0 | 0 | 0 | |
| 1 | 0 | 0 | 1 | |
| 2 | 0 | 1 | 0 | |
| 3 | 0 | 1 | 1 | |
| 4 | 1 | 0 | 0 | |
| 5 | 1 | 0 | 1 | |
| 6 | 1 | 1 | 0 | |
| 7 | 1 | 1 | 1 |
- To hilite, press left mouse key and drag mouse across table.
- To copy any hilited text, press CTRL+C, or CTRL+INSERT.
- To paste, press CTRL+V, or SHIFT+INSERT.
Click here for a Truth Tables Demo.
Comments:
From wHolt - 2/6/06 9:55 AM
Comments:
From Fro - 10/17/06 6:58 PM
A + B + C
#33 I want a pizza with anchovies or beef or chicken
| A | B | C | A + B + C | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 1 |
From DirtyBird - 10/15/06 3:22 PM
25) I want a pizza with anchovies and beef, or one with no beef at all.
| A | B | C | (A&B)+(-B) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 1 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 1 |
From wHolt - 10/15/06 1:58 PM
From wHolt - 10/13/06 2:59 PM
From wHolt - 10/12/06 7:39 PM
DirtyBird - you have yet to shade A&B. Why?
Fro - you still are confusing + with &
Taz - good
From Taz - 10/11/06 5:33 PM
| A | B | C | (-A) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
76. I want pizza with no anchovies.
From Fro - 10/9/06 7:22 PM
A + B + C
#33 I want a pizza with anchovies or beef or chicken
| A | B | C | A + B + C | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 1 |
From Trixie - 10/6/06 4:58 PM
| A | B | C | (-A)(-B)(-C) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From wHolt - 10/5/06 1:24 PM
From Pac - 10/4/06 5:13 PM
Another shot! I think the table is good and I'm more confident with the picture now...
| A | B | C | (A&B) + (B&C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
#14: (A&B)+(B&C) - I want a pizza with either anchovies and beef or beef and chicken.
From Draco - 10/4/06 11:31 AM
I want either beef or anchovies with either beef or chicken. (B+A) & (B+C)
| A | B | C | (B+A) & (B+C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 1 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 1 |
From wHolt - 10/4/06 9:30 AM
Your notation is OK, but the shading does not correspond.
Your notation says no beef.
TBird- your order does not exclude plain pizza.
Draco - Add B+A. Then add B+C. Where do these two overlap? Shade there.
From wHolt - 10/4/06 9:24 AM
7Iron
Aeneid
BassLady
Bob
Boki
Bravo
Bubba
Capricorn
CatsEyes
Centerfield
Cheana
David
DirtyBird
Draco
Harkar
Hotrod
Houdini
JooJoo
Kathi
Melewen
Phoenix
Pod
Poovey
Pringle
RockClimber
Slick
Sunshine
SuperDuke
Taurus
Tiger
Trixie
Zonino
If you did not make it onto the list yet,
study examples of those who did.
Do not ask me for help.
Keep trying till you get it.
From wHolt - 10/3/06 10:13 PM
THIS PAGE IS CLOSED TO NEWCOMERS!
THOSE WHO HAVE PREVIOUSLY POSTED INCORRECT EXAMPLES,
MAY CONTINUE CORRECTING THEIRS
From Capricorn - 10/3/06 10:08 PM
#52 I want a pizza with chicken and beef and no anchovies.
| A | B | C | C & B & (-A) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From Phoenix - 10/3/06 9:52 PM
#74. I want a pizza with no anchovies. ~A
| A | B | C | ~A | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From JooJoo - 10/3/06 9:50 PM
I want a chicken pizza with no anchovies and no beef.
C(-A)(-B)
| A | B | C | ||
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From RockClimber - 10/3/06 8:51 PM
| A | B | C | (B) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 1 |
I want a beef Pizza
From Bubba - 10/3/06 7:31 PM
i want a pizza with anything but chicken.
| A | B | C | ||
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
From Tiger - 10/3/06 5:52 PM
#21. I want a pizza with anchovies and beef or anchovies and chicken.
| A | B | C | (A&B) + (A&C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 1 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 1 |
From David - 10/3/06 4:49 PM
I don't want anchovies, don't want beef, and I don't want chicken.
| | A | B | C | -A-B-C |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From TBird - 10/3/06 4:14 PM
#3. I want a pizza without anchovies and without beef.
| A | B | C | (-a) & (-b) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From Deuce - 10/3/06 12:48 PM
I want a pizza with no chicken and no beef or chicken.
i hope this is right this problem is killing me
| A | B | C | -(c) & -(b+c) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
From wHolt - 10/3/06 11:34 AM
7Iron
Aeneid
BassLady
Bob
Boki
Bravo
CatsEyes
Centerfield
Cheana
Harkar
Hotrod
Houdini
Kathi
Melewen
Pod
Poovey
Pringle
Sunshine
SuperDuke
Taurus
Zonino
If you did not make it onto the list yet,
study examples of those who did.
Do not ask me for help.
Keep trying till you get it.
From wHolt - 10/3/06 11:33 AM
Capricorn - #40 has no OR in it, yet you are adding areas together. Redo.
Pac - The + sign means add. You did not add A&B to B&C.
Basslady - your notation could be simplified.
From BassLady - 10/3/06 7:50 AM
# 9 - I want chicken without either anchovies or beef.
| A | B | C | ||
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From Taurus - 10/2/06 9:31 PM
I want any kind of pizza but an anchovy pizza or a beef pizza.
| A | B | C | -(A+B) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 1 | 1 | 1 | 0 |
| 2 | 1 | 0 | 1 | 0 |
| 3 | 1 | 1 | 0 | 0 |
| 4 | 0 | 1 | 0 | 0 |
| 5 | 0 | 1 | 1 | 0 |
| 6 | 0 | 0 | 1 | 1 |
| 7 | 1 | 0 | 0 | 0 |
From Pac - 10/2/06 8:02 PM
My previous picture was wrong - no change to the table, just the picture!
| A | B | C | (A&B) + (B&C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
14. I want either both anchovies and beef or both chicken and beef.
From Fro - 10/1/06 4:42 PM
A + B + C
#33 I want a pizza with anchovies or beef or chicken
| A | B | C | A + B + C | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 1 |
From Poovey - 10/1/06 3:05 PM
#44 I want a pizza with beef and no chicken and beef with anchovies
| A | B | C | ||
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
From wHolt - 10/1/06 2:19 PM
From Zonino - 9/30/06 11:49 PM
#16 I want a pizza with everything on it.
A&B&C
| A | B | C | A&B&C | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 1 |
From CenterField - 9/30/06 6:01 PM
From Poovey - 9/29/06 6:49 PM
#44 I want a pizza with beef and no chicken and beef with anchovies
| A | B | C | ||
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
****CORRECTION****************
From wHolt - 9/29/06 12:52 PM
7Iron
Aeneid
Bob
Boki
Bravo
CatsEyes
Cheana
Harkar
Hotrod
Houdini
Kathi
Melewen
Pod
Pringle
Sunshine
SuperDuke
If you did not make it onto the list yet,
study examples of those who did.
Do not ask me for help.
Keep trying till you get it.
From CatsEyes - 9/28/06 9:21 PM
I want a pizza with nothing on it.
| A | B | C | (-A)(-B)(-C) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From wHolt - 9/28/06 12:34 AM
Slick - you shaded I want a pizza without beef OR chicken.
The rest of you who did not make the list are also confusing OR with AND somewhere,
or vice versa.
From Pringle - 9/27/06 6:39 PM
#5 I want either a pizza without anchovies or a pizza without beef
| A | B | C | (-A) + (-B) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 1 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From Pac - 9/27/06 4:27 PM
| A | B | C | (A&B) + (B&C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
14. I want either both anchovies and beef or both chicken and beef.
From Slick - 9/27/06 3:53 PM
| A | B | C | (-B) & (-c) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
#87 I want a pizza without beef and chicken
From Spartan - 9/27/06 12:17 AM
13. I want a beef pizza w/either anchovies or chicken.
(B+A) & (B+C)
| A | B | C | (B+A) & (B+C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
From Bob - 9/26/06 10:54 PM
| A | B | C | B+C-(B&C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 0 | 0 | 0 |
| 4 | 0 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 1 |
| 6 | 1 | 1 | 0 | 1 |
| 7 | 1 | 1 | 1 | 0 |
#17 I want either a pizza with beef or chicken, but not both
From Pringle - 9/26/06 9:49 PM
| A | B | C | ||
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 1 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
# 5 I want either a pizza without anchovies or a pizza without beef
((B+C) - A) + (( A+C) - B)
From Butterfly - 9/26/06 8:47 PM
Any kind of pizza without anchovies. | |||||||||||||||||||||||||||||||||||||||||||||
From Bravo - 9/26/06 7:46 PM
| A | B | C | C (-B) (-A) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From 7Iron - 9/26/06 4:59 PM
7. I want anykind of pizzaexcept one that has both anchovies and beef on it
| A | B | C | (-A)&(-B) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 1 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From Cheana - 9/26/06 3:59 PM
| A | B | C | (~A) | |
| 0 | 0 | 0 | 0 | 1 |
| 1 | 0 | 0 | 1 | 1 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
#1. I want any kind of pizza except an anchovy one.
(~A)
From Boki - 9/26/06 11:24 AM
I want a pizza with chicken and beef and no anchovies.
(C & B) & (-A)
| | A | B | C | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 1 |
| 4 | 1 | 0 | 0 | 0 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
From Sunshine - 9/26/06 11:00 AM
| A | B | C | A(-B)(-C) | |
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 0 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
| 5 | 1 | 0 | 1 | 0 |
| 6 | 1 | 1 | 0 | 0 |
| 7 | 1 | 1 | 1 | 0 |
I want anchovies no chicken no beef
From HotrodMinivan - 9/24/06 7:32 PM
#29 I want an anchovy pizza with no chicken or a beef pizza without chicken
| A | B | C | ||
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 2 | 0 | 1 | 0 | 1 |
| 3 | 0 | 1 | 1 | 0 |
| 4 | 1 | 0 | 0 | 1 |
Here Is My Pizza Order Example:
I want anchovies and chicken without beef,
or, if it's faster, beef and chicken without anchovies,
or maybe beef and anchovies and hold the chicken.
(A&C–B) + (B&C–A) + (B&A–C)