Hexadecimal Time
The day is divided up into 65536 parts and written in hexadecimal (base-16) notation (A=10, B=11 ... F=15). This gives us a four digit clock with only slightly less accuracy than a six digit clock using the standard time format.
The first digit is 1/16 of a day which equals 1.5 hours (0x8000 would be noon). The second is 1/256 of a day and equals 5.625 minutes (0x8800 is halfway between 0x8000 and 0x9000). The third is 1/4096 of a day, just over 21 seconds. Lastly we have 1/65536 of a day which is about 1.3 seconds. The "0x" at the begining is just to signify that it is in hexadecimal notation, we could just leave it off or use some other signifier.