Converting from base-2 to base-16

[johann1301]

How does one convert a number like 0.0101100101₂ to a base-16 system?

I know how to do for ex. 10001110₂, but the comma (or period confuses me)...

 

[Mark44]

How does one convert a number like 0.0101100101₂ to a base-16 system?

I know how to do for ex. 10001110₂, but the comma (or period confuses me)...

Conversion between binary and hex integers is pretty easy - each group of four binary digits, starting from the left, can be written as a single hex digit.

Converting binary fractions is almost as easy. Starting at the "binary" point, each group of four binary digits represents a power of 1/16. The first four digits to the right of the point are 0101, or 5 in hex, and continue in the same pattern. The first hex digit represents sixteenths, the next represents 256th-s (1/(16²), and so on.

 

[johann1301]

next number is 9?

 

[johann1301]

0.594?

 

[SteamKing]

0.1 - base 2 would be 1/2 = 0.5

Is 0.0101100101 - base 2 greater than or less than 0.1 - base 2?

 

[johann1301]

i meant 0.594₁₆

0.0101100101₂ = 0.594₁₆ ?

 

[Mark44]

i meant 0.594₁₆

0.0101100101₂ = 0.594₁₆ ?

Looks good.

 

[johann1301]

Thanks!