This is part of the LG series close to where we stay. There is no physical cache at the location given on the listing. You need to solve the challenge below and you need to calculate the exact location of the cache. This one is probably the most difficult one. Our objective was not to snooker the cacher but to learn that most mysteries is actually straight forward. If you hate puzzles, please study 13.LG. Caches is in public places, no tree climbing required, not in residential gardens.
As an engineer I work most of my times with logic signals. Today we use this logic also when we program PLC's. We live in a world full of 1's and 0's. If you use your phone and your voice is received on the other cell phone then most people think the voice is transmitted. Not exactly. Your voice is translated to 1's and 0's on your side and then transmitted as a string of 1's and 0's to the other cell phone. The receiving cell phone then transform the received binary strings and it changes that strings to an audible signal which can be heard by a human in the form of an voice. Your PC and cell phone cannot understand anything else but a 1 and a 0.
So what is a 1 and what is a 0 in terms of logic or binary systems? A digital signal is at 1 is when the signal is at a high voltage, most cases for TTL usage at a level of 5 volt. If a zero volt is applied the digital world will understand that it is at a 0 level. The actual usage is far more complex and we will only focus on the basics of digital gates and a world of 1's and 0's. A PC can not understand the letter 5 for example, in his world only 1 and 0 is true. But 5 can be broken up in a binary number of 101. If you send a command as a high voltage pulse, followed by zero voltage pulse and then another high voltage pulse the PC will see a 1, then a 0, then a 1 and he will decode it to give you 5.
At school we use the decimal system. All of us are taught that 9 plus 1 is decimal 10. Most people do not fully understand the concept of the one carried over. Ten is a group, 9 plus 1 is a group, With other nothing remains and 1 is carried over. Same applies to binary. A binary 1 plus binary 1 is not 2. Only 1 and 0 exist. So you carry one over. This then forms a group called binary 10. To make things a bit more complex we also work in octal and hexadecimal. In octal the same applies. A 7 plus 1 will then be octal 10 because 8 is a group. Hex is even more complex.
If you do see anything like 10111 1011 on a listing you need to understand that they are working with Binary. You can use the calculator in Microsoft Windows to covert between the different notation systems. In some cases they use the binary system to convert it to an asci code number. Remember to select the calculator as scientific. Please use it with the challenge below.
To solve this problem you need to follow the steps given below.
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Look at the three challenges below. We will use only TTL circuits.
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Print the three challenges.
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Understand the block that is being used. Is it a “AND”, “OR”, “XOR”, etc. What is the function of the block? How does it work, what is the output? There are enough Google help available to understand this.
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Use a pencil and calculate the output for the given input data.
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You then need to change this digital string into a decimal number as below.
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Then use this decimal number in the formula given to get the real way point of the hidden cache.
Challenge 1:

Challenge 2:

Challenge 3:

Apply your knowledge to the circuits given above to determine the outputs:
Inputs is on the left of the examples given. Outputs is on the right. We apply the following voltage signals to the following input terminals. (where 5 volts = digital 1, O volts = digital 0).
A is 5 Volt, B is 5 Volt, C is 0 Volt, D is 5 Volt, E is 0 Volt, F is 5 volt, x is 5 Volt, Y is 5 Volt.
Predict the Binary output of the circuits above.
Binary Output ... QRPO = _ _ _ _
Convert this Binary number to a Decimal number = Z = ________
The cache is at S26 14.855 E 28 17.[0.095*Z]
If you are really struggling please do not hesitate to contact the owner for assistance. Example 2 is given to help you. The formula given at example 2 namely output = AB+BC+AC read in logic terms as follows. Output will be equal to (A AND B) OR (B AND C) OR (A AND C). You can apply your knowledge of example 2; you should be able to figure out how to do the others. If you do have the answer please use geochecker to determine if you are correct or not with your answer. Hope you enjoy this one.
Well Done!!! You found the backdoor - go to S26 14.855 E28 17.190 to find the cache.
You can check your answers for this puzzle on GeoChecker.com.