Convert a Ratio of Integers

From:

Initial Base

Numerator

Denominator

To:

New Base

Result:

( Ratio in New Base )

 

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Help Information

Examples

Initial Base

Numerator

Denominator

New Base

Result

10

35

8

2

(100.011)2

2

100011

1000

10

(4.375)10

10

6877

198

10

(34.732)10

16

A345F

9C

2

(1000010111110.11110111110010)2

16

A345F

9C

8

(10276.75745)8

7

1

64

3

(0.00012021122)3

23

{16}

1{17}

2

(0.0110)2

10

7867

90001

15

(a lot of digits—try it!)

The "Initial Base" Entry

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

The "Numerator" and "Denominator" Entries

The table below describes the notation for entering the ratio'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 ratio 6775/4391 in mulitple bases.

Digit Notation Examples

Initial Base

Numerator

Denominator

10

6775

4391

2

1101001110111

1000100100111

16

1A77

1127

30

{7}{15}{25}

{4}{26}{11}

The "New Base" Entry

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

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