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how to reduce the quiescent current when the IC is startup ?

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pianomania

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We design a low power d flip-flop which will consume current when clock is switching , otherwise the current is very small when the clock is a stable state.

However, when the IC is startup , the clock source may rise to a meaningful voltage, say half of voltage supply(5V). Then the input stage of clock, like inverter which is constructed with pmos and nmos pair will turn on at this condition.
Then a meaningful current will flow from the power supply to the Pmos drain side to Nmos.
How to prevent this phenomenon ? To clamp the clock source output or modify the structure of inverter ? And what kind of inverter structure could be used ?
 

POR should be used to power down all the circuits when the IC start up
 

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