Questions tagged [truth-table]

A truth table is a mathematical table used in logic—specifically in connection with Boolean algebra, boolean functions, and propositional calculus—which sets out the functional values of logical expressions on each of their functional arguments, that is, for each combination of values taken by their logical variables.

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Sum-of-Product understanding

I am trying to learn Sum-of-Products and minterms and maxterms for logic design, but I don't know how the book gets the f(x1,x2,x3) part. I think I understand the minterm from the first pic (it's ...
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How does carry in work in full adders?

Yesterday I asked a similar question and realized I still don't quite get it, so I'm sorry about that. Here is explicitly what I mean: This is a part of a full adder. The first row in which ...
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binary addition / truth table?

I'm trying to understand how binary addition works. If I understand it correctly, with two variables e.g. x and y you add a ...
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Writing Truth Table Given Function

so I am taking a summer course and the teacher is not so helpful at the moment so I was thrown the following question to do: Derive a truth table for the following function: \$f(x,y,z)=\sum m(1,3,5,7)...
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Truth Table does not exhaust all combination. Can it be translated to a circuit? Is it ill-pose?

Step|A|B|C ---------- 1 |0|0|1 2 |1|0|1 3 |1|1|0 4 |1|0|0 From the truth table above, I can not find the equivalent boolean expression hence I can not ...
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Name for this logic operation [closed]

I'm from math.stackexchange and I wanted to know the name of an operation on multiple variables. I thgouth what I wanted was the XOR gate, but this is not the case. When I looked on this site I ...
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How can I draw the diagram using few decoders for this truth table?

For the truth table above, abc is the input and xyz is the output. I do know how to draw the diagram using a decoder in case of when I have only one output. How can I draw the diagram using a decoder ...
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What are the names of all possible logic gates with 1-or-2-bit input and 1-bit output?

This seems to be a silly question, but the fact is that when I tried to search for related information, none of the search results gave me satisfactory answer. Logic Gates with 1-bit Input and 1-bit ...
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What does this extra notation mean when writing a sum of products expression from a truth table?

So I am practicing for an exam in digital electronics. I am doing some exercises on writing expressions from truth tables, and I came across a description for the columns that should be true and false ...
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Relation between Sum of Min terms and product of max terms

My professor taught in class that the complement of sum of min terms of an expression is equal to the product of maxterms of the same. I.e, (Sum of min terms)' = (product of maxterms) How is this ...
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Rising Edge-Triggered Truth Tables

I'm trying to debug some issues in an old (early-90's is old now, isn't it?) circuit, and noticed something in at least two different chip's truth-tables, and thought I'd ask here.. In the 74LS74 (...
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Addition and subtraction of binary digits

I have to solve the following exercise : Extend the circuit of the first part (the first part was an adder of integer numbers of 2 binary digits) in order to execute addition and subtraction of ...