bit manipulation - Retain Data from 27 bit to 19 bit conversion -

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i have access control solution 27 bit format 13 bits facility code , 14 bits badge id. conversely, need convert 8 bits facility code , 16 bits badge id.

what largest number can convert on 27 bit side same result using 8 bit facility code size? meaning, if have 13 bits facility code, how many bits can chop off still same result , 8 bit size?

if facility code never greater 255, can chop off 5 significant bits (i.e. keep 8 least significant ones), without losing information.


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