The base b is actually the multiplier for the value in each digit: the first digit is b^0, the next to the left is b^1, the next left is b^2. Similar for right

The base b is actually the multiplier for the value in each digit: the first digit is b^0, the next to the left is b^1, the next left is b^2. Similar for right of the dot: b^-1, b^-2....