Characteristics of Floating
Point Numbers (cont.)
3. Normalization of mantissa causes a “hole at
zero”
With same example:
   Smallest non-normalized +ve is 0.01x2(-1+1)=0.12510
   Smallest normalized +ve is        0.10x2(-1+1) =0.2510
   Get a pattern as follows:
4. Overflow and underflow
ä If required exponent exceeds max exponent
ä Error message? NaN?
ä If required exponent for normalized number is less
than min exponent
ä Could use denormal numbers
ä Could set number to zero
ä Could get an error message