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Basic Logic Gates / Pulse Train Problem (Includes Solution) 
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#1
Feb913, 01:44 PM

P: 584

1. The problem statement, all variables and given/known data
The problem and its solution are attached. 2. Relevant equations N/A 3. The attempt at a solution I'm very confused about how output pulse trains work. I already checked online (including Wikipedia) so, could someone please give me an explanation of the absolute basics in an easytounderstand way? I'm confused about what the “rectangleness” around the numbers is for and how it works. What I DO get is that the output is the same as the input A since input B is a constant 1 and, converting “1” to “True”, we get unknown AND True = unknown. Any input for helping me fully understand this problem would be greatly appreciated! 


#2
Feb913, 02:13 PM

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#3
Feb913, 03:38 PM

P: 584

Oh but, how do I know what A (and, by consequence, Y) is equal to?
In other words, what is the computational step (no matter how simple it may be)? 


#4
Feb913, 03:42 PM

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Basic Logic Gates / Pulse Train Problem (Includes Solution)
That is given there. Input A starts with a 1 (written above "a"), this is followed by a 0 ("b"), ...
Well, it could start with "h" as well, but that changes nothing. 


#5
Feb913, 03:50 PM

P: 584

So, A is a sequence of digits rather than one final answer?
I was thinking it would be (a OR b OR c OR d OR e OR f OR g OR h) = (0 or 1) = A or something like that. (By a capital "OR", I am referring to boolean logic whereas with the lowercase "or", I am just stating that the final value of A is either a 0 or a 1.) I'm still confused. (Sorry.) 


#6
Feb913, 03:51 PM

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#7
Feb913, 04:02 PM

P: 584

1) Is the "rectangleness" part of the value A or is it just a fancy graphical drawing to what A really is which is only the individual digits (=wagons, as you mentioned in your last post)?
2) Is Y = {(a AND B),(b AND B),(c AND B),(d AND B),(e AND B),(f AND B),(g AND B),(h AND B)} = {(1 AND 1),(0 AND 1),(0 AND 1),(1 AND 1),(1 AND 1),(0 AND 1),(1 AND 1),(0 AND 1)} 3) Is a pulse train a SET of values (in the mathematical sense)? 


#8
Feb913, 04:06 PM

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#9
Feb913, 04:10 PM

P: 584

I think I get it now (thanks to what you said combined with looking at problems later in the book where B is not a constant 1 and applying what I now know).
Thanks. :) 


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