How Does a Debounce Switch Solve Electrical Noise Problems?

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A debounced switch is designed to eliminate electrical noise caused by mechanical bouncing when the switch is toggled. This bouncing can lead to multiple rapid on/off signals, causing erratic behavior in digital circuits like NAND gates. When the switch is pressed, the output may fluctuate between 1 and 0 instead of settling on a stable state. The debouncer smooths these transitions, ensuring that the output remains consistent and reliable. Understanding these operations is crucial for effectively explaining the function of a debounced switch in circuit design.
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i recently had a lab where i needed to build a circuit with a debounced switch in it. now i have to explain how the debounced switch works but I'm having trouble articulating the different operations that occur.

the circuit consisted of two wires each with a resistor of the same type and both connected to a 5V source. the two wires are connected by the switch and each wire is connected to different parts of the same NAND gate. when the switch is in one position the output is 1 and the when it's in the other position the output is 0.
 
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Guiding questions:
So what is the problem a debouncer is supposed to solve?
What causes that problem?

What happens with the gate when the problem occurs?
http://ikalogic.com/debouncing.php
 

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