|Feb28-12, 07:04 PM||#1|
Base-b expansion of a number?
Has anyone come across how to find "the base-b expansion" of a number? I don't think its tricky or anything I just don't know what it's referring to...
|Feb28-12, 07:07 PM||#2|
Oh it's just referring to writing a number in a different base...
|Mar1-12, 08:02 PM||#3|
(let's assume for simplicity the decimal expansion is finite)
Which represents the expression:
1)Whole Part: bm+b(m-1).c+ b(m-2)c2+
2)Decimal Part: b(m+1)c-1+b(m+2)c-2+
An example I think most would be familiar with would be a binary string, say:
Which stands for:
So the string 110.0101
Represents , in base 2, the number 6.325 in base 10.
Or, like (13.2)10 represents 3.100+1.101 in the
whole part, and 2.10-1 in the4 decimal part.
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