I totally agree with you on powering the 555 from the gate. I'm just trying to get this right. In my software programming days I also would not trigger one module with a result of another. It's too difficult to follow. But I have not been able to figure out how to take the result from the gate and trigger the 555 the correct way. With a pulse to pin 2. I just cannot figure out how to do it. Can you help me with this? I also re did my schematic some. All resistors on the 555 are 10k. I remapped the gate logic so the results had the same 3.5volts and then sent the outputs from that into a third so the result is on one signal. (The 555 will beep each time). I'll upload it in a single post.And yet they are not on the schematic, so we don't know how they are being treated to prevent overheating, oscillation, and other problems that will affect the one gate you are using. CMOS parts are finicky, and that near-infinite input impedance has consequences.
Note - adding pin names, or at least numbers, to the parts will help us understand what you are trying to do.
Here is my first guess at your schematic, re-drawn for clarity. I added treatments for the unused gates.
I suppose this circuit can work, but I'm not sure how. Your schematic shows an unknown resistor in series with the 555 power pin (shown here as RX1), and the discharge output (pin 7) applying a dead short to ground on the touch module output. My library has the CMOS 555 in it, but your schematic indicates the original bipolar version, another source of operating issues. In general, it is very bad practice to power an IC from a signal output of another device rather than from a true power supply connection. However, my guess is that relatively high impedance source is what is giving you a time delay. What is the purpose of R2?
Note - many schematic programs hide common device power and GND pins to improve overall clarity and readability. This is why neither IC has explicit power pins in this schematic. If the resistor in series with the 555 Vcc pin were retained, I would have to make a new 555 decal with a power pin that is not invisibly connected to the net named Vcc.
ak
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