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Apr 3, 2014 at 1:27 vote accept Salmononius2
Apr 2, 2014 at 23:15 comment added Yuval Filmus If the mantissa is 1, how would you know how many zeroes to add to the left before you add the 1? I think you're implicitly assuming that the numbers are integers, but they need not be.
Apr 2, 2014 at 22:59 comment added Salmononius2 While the mantissa would have the same representation, the exponent would still be different. Using your examples, 9 is represented as (I'll write the exponent as a number to keep it short, including the 127 bias) 129, 001... and 17 is represented as 130, 0001... I'm asking why they can't both be represented in the mantissa as 1, with the exponent filling in the dropped 1 and 0's.
Apr 2, 2014 at 21:35 history answered Yuval Filmus CC BY-SA 3.0