Converting 29 and 0.7 to IEEE single precision floating point

[KataKoniK]

I am having difficulty in converting 29 and 0.7 to IEEE single precision floating point.

For 29,

I represent 29 as a product of a power of 2 using 58/4 * 2¹.
However, I am having trouble getting the mantissa value because 58/4 is 14.5, and I need something in the format of 1.[numbers]. Any help would be great, thanks.

For 0.7,

I do not know how I would represent 0.7 as a product of a power of 2 because there is no exact binary number representation for 0.7. Any help would be great, thanks.

 

[mathmike]

are you trying to write a computer program to do this or just need to convert

 

[KataKoniK]

Hi,

I just need to convert it. Not writing a program.

 

[mathmike]

here is a link that i think will answer any question you have about this subject

http://www.cprogramming.com/tutorial/floating_point/understanding_floating_point_representation.html

 

[Integral]

However, I am having trouble getting the mantissa value because 58/4 is 14.5, and I need something in the format of 1.[numbers]. Any help would be great, thanks.

Isn't 14.5 = 1.[numbers] x10¹

 

[KataKoniK]

Isn't 14.5 = 1.[numbers] x10¹

Yes, but how would you represent that in mantissa?


I'll check out that link mathmike, thanks.