Sketch output for 2-input AND gate

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SUMMARY

The discussion focuses on sketching the output waveform for a 2-input AND gate, where the output is defined by the equation x = AB. The participants confirm that the output will only be high (1) when both inputs A and B are high (1) simultaneously. The concept of multiplying logical values (0,1) is clarified, emphasizing that a logical AND operation can be viewed as a multiplication operation in this context.

PREREQUISITES
  • Understanding of digital logic gates, specifically the AND gate.
  • Familiarity with waveform sketching techniques.
  • Basic knowledge of logical operations and binary values.
  • Ability to interpret circuit diagrams and input/output relationships.
NEXT STEPS
  • Research the characteristics of other logic gates, such as OR and NOT gates.
  • Learn about timing diagrams and how to represent digital signals over time.
  • Explore the concept of logic gate combinations and their truth tables.
  • Study the implementation of logic gates in hardware using tools like Logisim or digital simulators.
USEFUL FOR

Students in electronics or computer engineering, educators teaching digital logic design, and hobbyists interested in understanding basic digital circuits.

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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