Sketch output for 2-input AND gate

AI Thread Summary
The discussion revolves around sketching the output waveform for a 2-input AND gate based on provided inputs. The fundamental equation for the AND gate is x = AB, indicating that the output is high only when both inputs A and B are high. Participants confirm that the output waveform should reflect this condition, emphasizing that the AND function can be viewed as a multiplication of logical values. Clarifications on how to represent the multiplication of waveforms are also discussed. Overall, the key takeaway is that the output is high only when both inputs are simultaneously high.
sami23
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Homework Statement


Sketch the output waveform for the given circuit and inputs (see attachment)


Homework Equations


For AND gate: x = AB (multiply the inputs to get the output)


The Attempt at a Solution


attached is my sketch.

How to multiply 2 waveforms?
 

Attachments

  • waveform given.jpeg
    waveform given.jpeg
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  • waveform attempt.jpeg
    waveform attempt.jpeg
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sami23 said:

Homework Statement


Sketch the output waveform for the given circuit and inputs (see attachment)


Homework Equations


For AND gate: x = AB (multiply the inputs to get the output)


The Attempt at a Solution


attached is my sketch.

How to multiply 2 waveforms?

Your 2nd sketch looks correct. The AND of A and B will only be high if both are high at the same time.

I guess you could call the AND function a multiplication, if you multiply the logical values (0,1). You can only get a 1 out of that multiplication if...
 
thanks for the clarification!
 
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