Convert a Mixed Fractional Part (Base Conversion » Convert a Number with a Fractional Part »)

Conversion Tool

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


Result: (Number in New Base)

Help

Examples

From				To	Result
Initial Base	Number			New Base
Initial Base	Integral Part	Non-Repeating Fractional Part	Repeating Fractional Part	New Base
10	12	8	3	2	(1100.110)₂
2	1100	1	10	10	(12.83)₁₀
16	A345	FF	9C	2	(1010001101000101.1111111110011100)₂
16	A345	FF	9C	8	(121505.77716234471)₈
7	23	4	6	3	(122.201021)₃
24	9{19}	{17}	{21}	3	(22201.202011002221)₃
16	0	13	3D	12	(0.0A9A46265B1A0347AA54)₁₂
10	23	1	6	6	(35.1)₆
7	0	16	6533213316	11	(a lot of digits—try it!)

"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.)

"Number" Entry

Enter the number you want to convert to the new base. If the initial base of the number is between 2 and 16, you may use the digit symbols in the following tables to encode the number (note that the digit values are in base 10).

Digit Value	Digit Symbol
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7

Digit Value	Digit Symbol
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

For any base (larger than 16 or not), you can always enter the number as a sequence of base 10 digit values contained inside braces. The following table gives some examples of how you could enter the base 10 number 362.727.

Base	Integral Part	Non-Repeating Fractional Part	Repeating Fractional Part
10	362	72	7
2	101101010	10	111010010011
16	16A	B	A4F
16	{1}{6}{10}	{11}	{10}{4}{15}
25	{14}{12}	{18}	{4}{21}{13}

"New Base" Entry

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