Is this the right truth table for a negative-logic OR? confused

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SUMMARY

The discussion centers on the truth table for a negative-logic OR gate, specifically involving two inputs and one output. The user derived the boolean expression 'A + 'B = AB, leading to a truth table that indicates the output is high only when both inputs are high. The confusion arises from the interaction of the OR gate with active low inputs, as the expected behavior contradicts the derived truth table. The participants confirm that the OR gate maintains its function regardless of input logic levels.

PREREQUISITES
  • Understanding of digital logic gates, specifically OR gates
  • Familiarity with boolean algebra and expressions
  • Knowledge of De Morgan's theorem
  • Basic concepts of active low logic in digital circuits
NEXT STEPS
  • Study the principles of negative logic in digital circuits
  • Learn about the implementation of De Morgan's theorem in circuit design
  • Explore the behavior of active low inputs in various logic gates
  • Investigate practical applications of OR gates in LED control circuits
USEFUL FOR

Electronics students, digital circuit designers, and hobbyists working with logic gates and LED control systems will benefit from this discussion.

mr_coffee
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Hello everyone, this is the first time programming a digital board without hardwiring. I'm confused on what the truth table of a "negative-logic OR" would look like:

The diagram looks like
Two inputs and 1 output, its an OR gate but both the inputs are sent through an inverter and the output is also inverted so i got the following boolean expression:
_____
'A + 'B = AB
so using Demorgans theroem i get AB,
so if this is the case, the truth table would be
A B Output
0 0 0
0 1 0
1 0 0
1 1 1

is that right?
 
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Code:
A  B  Inv  A'  B'  Or  O  Inv  O'
0  0       1   1       1       0
0  1       1   0       1       0
1  0       0   1       1       0
1  1       0   0       0       1
Assuming that I'm following the process correctly (Invert the inputs -> OR -> Invert the output) I agree with you.
 
Grogs, thanks for the responce, but what i don't get is, the book says...Since the output of the OR gate is driving the decimal LED signal on the left digit of the two seven-segment display should be off. Which makes sense, since 0 0 is output 0. But then it says Sinc ethe buttons are active low, and the BNOR2 gate also has active low inputs and output, hitting either button should turn on the LED. This makes no sense because 1 0 should be 0, 0 1 should be 0, meaning the light shouldn't turn on if just 1 Pushbutton is pressed.
 
An OR gate with active low inputs still functions as an OR gate (i.e. it has the same truth table).

Claude.
 
Thank you!:biggrin:
 

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