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this is just like counting in binary base.
- nirorman December 09, 2014notice that for 7 days we need log(7) (rounded upwards)= 3 parts. each of those parts will be represented by a binary bit.
the smallest part (1) is the LSB, the largest part (4) is the MSB.
where the number 000 represents that the emplyee has 0 of the fisrt part(which is of size 2^0=1), zero of the second part(which is of size 2^1=2) and zero of the third part(which is 2^2 = 4). respectively, on the seventh day of the week the employee will have all parts, so the binary number will be 111. during the days of the week, the emplyee will have an increacng amount of parts like a binary counter: 000,001,010,011,100,101,110,111.
the first bit is 1 iff the emplyee has part1. the second bit is 1 iff the employee holds that second part (2). the third bit (which is the MSB) is 1 iff the employee holds the third part.
it made it easier for me to think about it that way. hopefully to you too.