Floating point Conversion

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Hello
I have a question about number systems and i am just a begginer who is learning different field of signal/image processing the wuestion is

(􀀀1)s  (1 + f )  2^(e-eb) :
The format has a word length of q bits, the length of the significand part representing
f is k bits, and the bias is eb (emax above is the maximum integer representable
with the bits allocated to the exponent).1
Let q=12 k=5 and eb=15, and determine the
word length p and the fraction length n of a fixed-point format (binary point scaling)
which can represent all values representable in the specified floating-point
format.?

I am not even sure if this is the right place to ask but anyways i am trying . If some has time to explain it to me or show me how to convert it i mean theoretically than i might code it.
Regards
Thank you so much

Posted 22-Sep-13 9:30am

loraloper_22

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Andreas Gieriet · Accepted Answer · 2013-09-22T12:57:00

Do you have a text book or any scripts from your lecture?
Lookup the terms there first, then understand the context of the formula, ask your teacher if you have any unclear items.

Check the internet for floating point standards, e.g. http://en.wikipedia.org/wiki/IEEE_floating_point[^].
Check what a fixed-point number is, e.g. http://en.wikipedia.org/wiki/Fixed-point_arithmetic[^]. See also floating point: http://en.wikipedia.org/wiki/Floating_point[^].
Cheers
Andi

PS: As a hint: the fixed-point number must be capable to store all values that the floating-point number can store. Find out first, what the maximum floating-point number is. Then the minimum (most negative value if it is about positive *and* negative numbers). Then find the number closest to zero (the smallest, the one with the highest negative exponent and taking in consideration the k bits that are even below that number).

I get roughly calculating something like 70 bits and the fixed point somewhere shy above 50.