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Highly Illogical Mystery Cache

This cache has been archived.

GeekQuixotic: When I placed this one, there was a Radio Shack in the adjacent strip mall which was appropriate. That went away with the rest of its kind, but the cache was still there. Now they've taken out the post where the container was hidden as well.

Time to let this one go.

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Difficulty:
4 out of 5
Terrain:
1.5 out of 5

Size: Size:   regular (regular)

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Geocache Description:

The cache is not at the listed coordinates!

To solve this puzzle and find this cache, you will need to fill out a truth table using logic gates and find the numbers in the seven segment display.


When I was young, I spent a lot of time sick. To entertain me and keep my mind engaged, my father taught me things from his job: Electrical Engineering. Specifically, he taught me binary logic in the form of logic gates and truth tables.

When I was an Electrical Engineering student, myself, our first big project was similar to what I created here.

In the image below is a "truth table" with four inputs (W, X, Y, Z) and seven outputs (a, b, c, d, e, f, g) and a column (N) for you to fill in the answers.

The second image contains samples of each of the three logic gates used in this puzzle. It also contains a diagram of the seven-segment display mapping the outputs of the puzzle to the pins of the display to make the numbers.

The last seven pages each contain the logic circuit for one of the outputs. To fill in the table, take a row of inputs and plug the values into the circuit and write down the output (a one or a zero) in the corresponding spot in the table.

For each row the outputs tell you which segments in the display are lit, creating a number for the coordinates.

In most cases, the equations could be further simplified using additional types of logic gates and configurations, but for simplicity sake I have kept all the first column of gates as "AND" gates which filter into the final "OR" gate for each output. Additionally, for each input I have also created a inverse ("NOT") version of the input.

You can download the full set as a PDF worksheet if you like.

It should be very clear if you are correct or not, but you can check your answer for this puzzle on Geochecker.com.

Additional Hints (Decrypt)

Uvqr: Gur TP pbqr vf evtug ba gur pbagnvare. Chmmyr: Or cngvrag. Vg gnxrf gvzr.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)