Tuesday
May052009
Truth Table for C4[2] shirt
Tuesday, May 5, 2009 at 5:21PM
Here is my preliminary work for the optimization of the T-shirt.
I layed out out the table a little funny. You can think of it as 4 columns instead of a single long column. I did this mostly due to the constraints of my little engineering notebook.
To make things more interesting I noticed that the second, third and fourth columns were really all identical. This is because for all of them, the output of the sun OR artificial light gate is always 1, so they would just be copies, so I just did one for clarity.
Next, notice that the first 8 entries of the table are all driven by the fact that the seed input to the final AND gate is 0. Therefore, all the interesting stuff only happens when you have and light source of some sort and a seed, of course.
The final eight entries in the table can be thought of as two sets of four that are interwoven (if I were to do this table again, I would move the Aeroponics column to be the second one next to the seed, thereby avoid the interwoven messiness).
One group of four entries is dependent on Aereponics only. If you have Aeroponics set to 1, Water AND Dirt are inconsequential.
The second group of four interwoven entries happens when Aeroponics is 0. In this case basically it reduce to the truth table for the Water AND Dirt gate.
Next up, I need to do a 6 input Karnaugh Map. This is something I have not done in about 15 years. Not to worry! Doing Karnaugh Maps is just like riding a bike, your crotch hurts after a while of doing it.
![Truth Table for C4[2] T-shirt.](http://s3.media.squarespace.com/production/582674/6850960/files/2009/05/truthtable.jpg "truthtable")
Truth Table for C4[2
I layed out out the table a little funny. You can think of it as 4 columns instead of a single long column. I did this mostly due to the constraints of my little engineering notebook.
To make things more interesting I noticed that the second, third and fourth columns were really all identical. This is because for all of them, the output of the sun OR artificial light gate is always 1, so they would just be copies, so I just did one for clarity.
Next, notice that the first 8 entries of the table are all driven by the fact that the seed input to the final AND gate is 0. Therefore, all the interesting stuff only happens when you have and light source of some sort and a seed, of course.
The final eight entries in the table can be thought of as two sets of four that are interwoven (if I were to do this table again, I would move the Aeroponics column to be the second one next to the seed, thereby avoid the interwoven messiness).
One group of four entries is dependent on Aereponics only. If you have Aeroponics set to 1, Water AND Dirt are inconsequential.
The second group of four interwoven entries happens when Aeroponics is 0. In this case basically it reduce to the truth table for the Water AND Dirt gate.
Next up, I need to do a 6 input Karnaugh Map. This is something I have not done in about 15 years. Not to worry! Doing Karnaugh Maps is just like riding a bike, your crotch hurts after a while of doing it.
Truth Table for C4[2
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