Consider the floating-point representation
31-24 : Exponent
23-0 : Mantissa
The exponent is in 2's complement representation and mantissa is in the sign magnitude representation. the range of the magnitude of the normalized numbers in this represntaion is
$(a)\ 0\ to \ 1$
$(b)\ 0.5\ to\ 1$
$(c)\ 2^{-23}\ to \ 0.5$
$(d)\ 0.5\ to \ (1-2^{-23})$
My approach: as the normalized number in floating point representation has as implicit 1.
Hence smallest mantissa would be
$1.0000\cdots [24\ 0's]=1$
Largest mantissa would be
$1.1111\cdots [24\ 1's]=1+(1-2^{-24})\approx2$
So my ans coming as 1 to 2
, Which is not in the option. What mistake I'm doing..