Convert a Number with a Non-Repeating Fractional Part

From:			Initial Base
				Integral Part	Radix Point	Non-Repeating Fractional Part
			Number		.
To:			New Base
Result: ( Number in New Base )

Help Information

	Examples
	Initial Base	Integral Part	Non-Repeating Fractional Part	New Base	Result
10		13	75	2	(1101.11)2
2		1101	11	10	(13.75)10
16		A345	FF9C	2	(1010001101000101.11111111100111)2
16		A345	FF9C	8	(121505.77716)8
3		2210	02	7	(135.136)7
18		A9	{17}2	8	(275.746556474031221303)8
16		0	3D	12	(0.2A39)12
9		0	75387	11	(a lot of digits—try it!)

The "Initial Base" Entry

Enter the initial base of the number (e.g., 2 for binary, 8 for octal, 10 for decimal, 16 for hexadecimal, etc.).

The "Number" Entry

The table below describes the notation for entering the number's digits. Note that the digit values in this table are shown in base 10. If a digit value is from 10 to 15, you can use the standard hexidecimal symbols A through F. For a digit value larger than 15, you must enter its base 10 value enclosed in braces. The braces notation can actually be used for any digit value, and we will use it for all digts in the results when the new base is greater than 16.

Digit Value		Digit Notation
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	8
9	9
10	A or a
11	B or b
12	C or c
13	D or d
14	E or e
15	F or f
value is >15	{ base 10 digit value }

The following table illustrates the digit notation by showing how you could enter the base 10 number 891.6953125 in mulitple bases.

	Digit Notation Examples
	Initial Base	Integral Part	Non-Repeating Fractional Part
10		891	6953125
2		1101111011	1011001
16		37B	B2
32		{27}{27}	{22}{8}

The "New Base" Entry

Enter the new base to which you want the number converted (e.g., 2 for binary, 8 for octal, 10 for decimal, 16 for hexadecimal, etc.).

© KnowledgeDoor LLC|Home|Facebook|Twitter|Contact Us|Terms of Use|Privacy Policy|Disclaimer