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Welcome to the first lecture in the digital electronics course and this course is also called as digital logic or digital logic and designing in various colleges the name is not important the name of the subject is not important, but the content is and the content is going to be same almost same in all of these courses, so you can start from here we will first see what is a signal then we will see what is an analog signal a discrete-time signal, and then we will see what is a digital signal so that we can start our digital electronics course so let's move to the signal what it is a signal is a function that represents the variation of a physical quantity with respect to any parameter this any parameter is the independent quantity, and it is generally time or distance, so the function is definitely dependent upon this independent quantity and I hope you already know about the function from your mathematics course, but we will also see one example that will clear these things more so let's say my function is f and as it is dependent upon the independent quantity and I will say my independent quantities X then I will write it as F X this shows that this function is dependent on the X and let us say it is equal to minus of an X square plus BX plus C now this is my function and I will try to implement this function in a daily life example for this I will take a boy let's have a boy and this boy will do a walk for us, he will go to a particular place and measure the temperature from morning 9:00 a.m. to the evening 9:00 p.m. so he's having his thermometer he will stand there, and he will measure the temperature in every one minute, so I can say he will have a data at the end of the day from nine a-m then 901 902 like at 9 a.m. he's having 27 degrees Celsius the 901 is having 27.5 degree Celsius in the same way he will have the different temperature for different time Willie and 9 p.m. so this is his task and he will have a data he will have a list of the temperatures for a different time now what we can do with this information we can plot it so let's try to plot it, and you already know that this x-axis we use for the independent quantity and this y-axis we use for the dependent quantity and in this case the independent quantity is time definitely the time is independent I will represent it by small t and this axis will represent my temperature T capital T is my temperature and as it is dependent on the time I will write T here now we can plot this values let's say our origin is 6 a.m. and this point is 11 p.m. this is a 9 a.m. and this one here is 9 p.m. so it will just show the temperature for the different times and let's say it comes like this, and then we can join these points, and we will have our function like this so this particular function is the downward parabola, and it is having the equation like minus of a t-square plus BT plus C this minus of a shows that we will have a downward parabola and there is one condition for that this a must...
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