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Help with Astable and Monostable Multivibrator Circuits

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thelostkid

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Hi! I'm trying to design an astable multivibrator driving a monostable multivibrator with a variable duty cycle and a fixed frequency. My circuit is shown below.
Bah.png
Whenever I display the output, through simulation, it does not appear as expected.
Bah 2.png
*Note: The output is the one in red.
The output of the monostable circuit goes down to 0 then, for some reason, rises to some value before it goes to Vcc in response to the next rising edge of the input (the output of the astable circuit). Why does the output not stay at 0 while waiting for the next positive edge of the input? What am I doing wrong? And is it really alright to connect the output of the astable multivibrator to the input of the monostable one or should there be an intermediary stage between the two? Please help.
 

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