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8 digits just count the amount of numbers.
3, sandwiched zeroes count
1 cause ( 2 ^ 0 ) = 1 index: 0 1 2 3 number: 1 2 4 8
It is a count of all digits, excluding leading zeros before the decimal point.
Assuming you start from 0, you need at least 4 bits. 15 in binary: 15 = 8 + 4 + 2 + 1 = 1111₂