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SN74HCT04: DRIVER CIRCUIT CLARIFICATION

Part Number: SN74HCT04
Other Parts Discussed in Thread: SN74AHC1G04

I would like to use inverter IC SN74HCT04NSR for generating output level of 0 and -5V.

as per the above suggested driver circuit, i have simulated the same in Tina using a single channel hex inverter SN74AHC1G04 as shown below and the simulated response as in the graph below. Can anyone suggest whether the implemented logic is correct for generating 0V and -5V output.

As in the datasheet it is not mentioned anywhere to connect the ground pin of inverter with -5V, So if i apply -5V to the ground pin of this IC will it get damaged.