I think that the bill accepter I used had relay contacts as the output. If yours is like this then you also have to debounce the relay contact signal before driving the counter input.And do what? Any counter circuit has an inputs and outputs.
What is the voltage level of the bill accepter output signal?
How long (wide) is its output signal?
What is the power source for the counter circuit?
Where does the counter output from the counter go? A display? A computer chip input?
Does there have to be a way to reset the counter?
Does the counter have to remember its number if it loses power?
Well... It seems your solution is vested in your question -- You need merely apply the conditioned pulses from the 'bill acceptor ' to a digital counter or, timing permitting, directly to a uC...I need to count pulses from a bill accepter and send a pulse when it counts a programmable(dip switch?)determined number.
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