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You are trying to learn how to play guitar. At first you write down the notes that you see your teacher playing on the guitar. You then start practicing by playing all of those notes, but you just can’t seem to figure it out. Eventually, your friend suggests that maybe you should learn something else instead of just trying hard enough at guitar. Can this really happen? Yes! Let's explore the possibilities with an example: "gabaritodoestagiofdematematicadokumon". We only have the beginning of the word, so we have to figure out the rest of it. What if we just take "gabaritodoestagiofdem" and spell out all the possible combinations? That will not help us much. What if we just take "gabaritodoestagiof" and spell out all the possible combinations? We will get a few words here, but none of them will make sense. Let's try something else: Note that some letters are used more than once, some are not used at all, and some are used in some words but not others. So what we need is some kind of way to mark letters that are used multiple times and letters that aren't used at all. Let's try marking the repeating letters with a box and marking the letters that aren't used at all with a dot: Now let's work through the combinations: We did it! We found out what our original secret message says: "THIS IS AN EXAMPLE OF HOW A SECRET MESSAGE CAN BE DECODED". The second part of this project requires you to get an audio file from anywhere online. You will then pick one or more seconds of that audio clip and mark it up using GTTM. You can use it to encode something (like a secret message) or you can use it to see if you can find certain patterns in the audio clip.It has been found that the finite state machine is not always an easy thing for students to understand, so let us turn our attention to other models for digital circuits. Our first model will be the one based on Boolean equations. For this model we will be using AND gates, OR gates and NOT gates. A gate is a switch that can be either on or off. It can be either closed or open. It can only have two states: 1 and 0, on and off, closed and open. The gates we will be using are all based on Boolean Algebra. Boolean Algebra is the algebra used to reason with switches and circuits so it is a natural place to start when reasoning about electronics. A Boolean function is a function that takes one input and outputs either 1 or 0 for false or true respectively. In other words, a Boolean function looks like this: Here we have a Mathematical expression that has an input term (x) and an output term (y). cfa1e77820
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