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SN74HC244: Current parameter consult

Part Number: SN74HC244
Other Parts Discussed in Thread: SN74LV244A

Hi team,

SN74HC244 datasheet claimed that "±6-mA Output Drive at 5 V: for per channel. In table 6.1, Continuous output current, IO=±35mA, is this for one channel or 8 channels together? 

Also how to calculate max current output of this device? My customer want to use 6*10mA for this device, will it have any risk from your side? Thanks.

BR,

Charles Lin