bits required for decimal values

hi,

I would like to calculate the exact number of bits to represent a given
decimal number.

for integers logX with base 2, would do that.

similarly is there anyway to say for decimal numbers ( only for
numbers <1 ).
say, for 0.5 should give 1 and for 0.75 should give a result of 3 and I
dont want to do the long division just to find the bits required.

regards,
hurry.

.

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