Boolean algebra is a branch of mathematics that has become important due to its use in computing. In Boolean algebra values are expressed not as numbers but as being either TRUE or FALSE.
In mathematics, an operation acts on inputs to produce an output. For example, 3+1=4 takes the two inputs 3 and 1 and applies the addition operation to produce the output 4. In Boolean algebra, the NOR operation produces an output that is the negation of the logical OR of the inputs. That is, if two inputs are A and B, either of which may be TRUE or FALSE, then the output of A NOR B is given according to this truth table.
Thus, the logical NOR operation output is only TRUE when neither A nor B are TRUE.
The TRUE and FALSE states could represent actual physical states. For example, on printed pages, the input may be considered TRUE if there is ink on a page and FALSE if not. Then the NOR output would be TRUE if all pages are white and FALSE if any of the pages had ink on it.
Logical NOR may have any number of inputs. But regardless of the number of inputs, all inputs must be FALSE for the output to be TRUE.
As a historical trivia, the guidance computers for the Apollo missions were said to have been constructed (almost) entirely of three-input NORs.
For brevity, the NOR operation is often written in symbol form. One way of expressing NOR is
where the BAR above the symbols representing A OR B (denoted by the "v" symbol) indicates the negation of the OR operation.
Enough geek-speak ... on to the cache.
To get the coordinates for GZ, download a high-resolution version of this image (click on thumbnail or use link below).
Alert: You are about to download a file that contains further details needed to find this geocache. As the cache owner, I represent that this file is safe to download although it has not been checked by Groundspeak or by the reviewer for possible malicious content. Download image file at your own risk.
Print the image full size. Consider the above information. With the right method, you will get six numeric digits. Replace the decimal minutes portion of the Southing by the first three digits, and the decimal minutes portion of the Easting by the last three digits, and you will have the coordinates for GZ.
Some Notes:
I have assigned this cache a starting Difficulty of 4.0 without any hint. This is based on the ratings of similar puzzle caches that I consider to be equally difficult. If there are enough requests for an additional hint in log entries, a hint will be added BUT the Difficulty will be reduced for each additional hint. The first find will lock in Difficulty and hints.
Coordinates-checking services such as Evince have been intentionally omitted from this listing. But if you have read and comprehended the above, you will know when you are on the right track and getting close to GZ.
Bring your own pen and please replace the cache so it won't be noticeable to muggles but also won't be impossible for the next finder to retrieve.
This cache is technically stroller and wheelchair accessible but do be VERY CAREFUL due to the position of the hide.
... and P-L-E-A-S-E ... no log-entry about this being a load of Boole.
Congrats, Baktrak for the FTF!