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What would be the main advantages of constructing an astable multivibrator with two CMOS inverters? Can these semiconductor devices be declared to introduce small parasitic capacitances to the circuit?

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They are simple and often can be implemented using unused inverters in an existing package that has six of them, so more economical than, say, adding a 555 for the purpose.

Yes, there will be some parasitic capacitance. That is true of all components.

An astable multivibrator can be done with a single inverter: a schmitt trigger type. Two could make a latch, of sorts.

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